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Finding the Third Proportional to 261,480 and 564,432

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Solution

The third proportional to 261,480 and 564,432 is: 1,218,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,480 : 564,432 = 564,432 : x
  2. Step 2: Convert to fraction form
    261,480/564,432 = 564,432/x
  3. Step 3: Cross multiply
    261,480x = 564,432 × 564,432
  4. Step 4: Simplify right side
    261,480x = 318,583,482,624
  5. Step 5: Solve for x
    x = 318,583,482,624/261,480
  6. Step 6: Final answer
    x = 1,218,385.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.