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Finding the Third Proportional to 502,957,976,200 and 1,096,946,052,836

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Solution

The third proportional to 502,957,976,200 and 1,096,946,052,836 is: 2,392,427,796,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,957,976,200 : 1,096,946,052,836 = 1,096,946,052,836 : x
  2. Step 2: Convert to fraction form
    502,957,976,200/1,096,946,052,836 = 1,096,946,052,836/x
  3. Step 3: Cross multiply
    502,957,976,200x = 1,096,946,052,836 × 1,096,946,052,836
  4. Step 4: Simplify right side
    502,957,976,200x = 1,203,290,642,832,480,442,253,312
  5. Step 5: Solve for x
    x = 1,203,290,642,832,480,442,253,312/502,957,976,200
  6. Step 6: Final answer
    x = 2,392,427,796,699.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.