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Finding the Third Proportional to 502,463 and 1,095,120

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Solution

The third proportional to 502,463 and 1,095,120 is: 2,386,818.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,463 : 1,095,120 = 1,095,120 : x
  2. Step 2: Convert to fraction form
    502,463/1,095,120 = 1,095,120/x
  3. Step 3: Cross multiply
    502,463x = 1,095,120 × 1,095,120
  4. Step 4: Simplify right side
    502,463x = 1,199,287,814,400
  5. Step 5: Solve for x
    x = 1,199,287,814,400/502,463
  6. Step 6: Final answer
    x = 2,386,818.16

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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.