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Finding the Third Proportional to 71,534 and 106,455

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Solution

The third proportional to 71,534 and 106,455 is: 158,423.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,534 : 106,455 = 106,455 : x
  2. Step 2: Convert to fraction form
    71,534/106,455 = 106,455/x
  3. Step 3: Cross multiply
    71,534x = 106,455 × 106,455
  4. Step 4: Simplify right side
    71,534x = 11,332,667,025
  5. Step 5: Solve for x
    x = 11,332,667,025/71,534
  6. Step 6: Final answer
    x = 158,423.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.