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Finding the Third Proportional to 530,617.50 and 815,437.13

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Solution

The third proportional to 530,617.50 and 815,437.13 is: 1,253,139.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,617.50 : 815,437.13 = 815,437.13 : x
  2. Step 2: Convert to fraction form
    530,617.50/815,437.13 = 815,437.13/x
  3. Step 3: Cross multiply
    530,617.50x = 815,437.13 × 815,437.13
  4. Step 4: Simplify right side
    530,617.50x = 664,937,704,828.27
  5. Step 5: Solve for x
    x = 664,937,704,828.27/530,617.50
  6. Step 6: Final answer
    x = 1,253,139.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.