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Finding the Third Proportional to 71,472 and 136,464

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Solution

The third proportional to 71,472 and 136,464 is: 260,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,472 : 136,464 = 136,464 : x
  2. Step 2: Convert to fraction form
    71,472/136,464 = 136,464/x
  3. Step 3: Cross multiply
    71,472x = 136,464 × 136,464
  4. Step 4: Simplify right side
    71,472x = 18,622,423,296
  5. Step 5: Solve for x
    x = 18,622,423,296/71,472
  6. Step 6: Final answer
    x = 260,555.51

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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.