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Finding the Third Proportional to 71,474 and 136,468

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Solution

The third proportional to 71,474 and 136,468 is: 260,563.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,474 : 136,468 = 136,468 : x
  2. Step 2: Convert to fraction form
    71,474/136,468 = 136,468/x
  3. Step 3: Cross multiply
    71,474x = 136,468 × 136,468
  4. Step 4: Simplify right side
    71,474x = 18,623,515,024
  5. Step 5: Solve for x
    x = 18,623,515,024/71,474
  6. Step 6: Final answer
    x = 260,563.49

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.