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Finding the Third Proportional to 402,681.38 and 564,428.25

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Solution

The third proportional to 402,681.38 and 564,428.25 is: 791,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,681.38 : 564,428.25 = 564,428.25 : x
  2. Step 2: Convert to fraction form
    402,681.38/564,428.25 = 564,428.25/x
  3. Step 3: Cross multiply
    402,681.38x = 564,428.25 × 564,428.25
  4. Step 4: Simplify right side
    402,681.38x = 318,579,249,398.06
  5. Step 5: Solve for x
    x = 318,579,249,398.06/402,681.38
  6. Step 6: Final answer
    x = 791,144.73

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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.