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Finding the Third Proportional to 261,474 and 564,420

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Solution

The third proportional to 261,474 and 564,420 is: 1,218,361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,474 : 564,420 = 564,420 : x
  2. Step 2: Convert to fraction form
    261,474/564,420 = 564,420/x
  3. Step 3: Cross multiply
    261,474x = 564,420 × 564,420
  4. Step 4: Simplify right side
    261,474x = 318,569,936,400
  5. Step 5: Solve for x
    x = 318,569,936,400/261,474
  6. Step 6: Final answer
    x = 1,218,361.81

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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.