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Finding the Third Proportional to 402,432 and 564,000.75

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Solution

The third proportional to 402,432 and 564,000.75 is: 790,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,432 : 564,000.75 = 564,000.75 : x
  2. Step 2: Convert to fraction form
    402,432/564,000.75 = 564,000.75/x
  3. Step 3: Cross multiply
    402,432x = 564,000.75 × 564,000.75
  4. Step 4: Simplify right side
    402,432x = 318,096,846,000.56
  5. Step 5: Solve for x
    x = 318,096,846,000.56/402,432
  6. Step 6: Final answer
    x = 790,436.26

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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.