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Finding the Third Proportional to 402,781.50 and 564,583.50

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Solution

The third proportional to 402,781.50 and 564,583.50 is: 791,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,781.50 : 564,583.50 = 564,583.50 : x
  2. Step 2: Convert to fraction form
    402,781.50/564,583.50 = 564,583.50/x
  3. Step 3: Cross multiply
    402,781.50x = 564,583.50 × 564,583.50
  4. Step 4: Simplify right side
    402,781.50x = 318,754,528,472.25
  5. Step 5: Solve for x
    x = 318,754,528,472.25/402,781.50
  6. Step 6: Final answer
    x = 791,383.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.