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Finding the Third Proportional to 210,490 and 450,836

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Solution

The third proportional to 210,490 and 450,836 is: 965,618.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,490 : 450,836 = 450,836 : x
  2. Step 2: Convert to fraction form
    210,490/450,836 = 450,836/x
  3. Step 3: Cross multiply
    210,490x = 450,836 × 450,836
  4. Step 4: Simplify right side
    210,490x = 203,253,098,896
  5. Step 5: Solve for x
    x = 203,253,098,896/210,490
  6. Step 6: Final answer
    x = 965,618.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.