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Finding the Third Proportional to 502,785.56 and 744,400.13

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Solution

The third proportional to 502,785.56 and 744,400.13 is: 1,102,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,785.56 : 744,400.13 = 744,400.13 : x
  2. Step 2: Convert to fraction form
    502,785.56/744,400.13 = 744,400.13/x
  3. Step 3: Cross multiply
    502,785.56x = 744,400.13 × 744,400.13
  4. Step 4: Simplify right side
    502,785.56x = 554,131,546,100.02
  5. Step 5: Solve for x
    x = 554,131,546,100.02/502,785.56
  6. Step 6: Final answer
    x = 1,102,123.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.