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Finding the Third Proportional to 71,062 and 109,508

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Solution

The third proportional to 71,062 and 109,508 is: 168,754.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062 : 109,508 = 109,508 : x
  2. Step 2: Convert to fraction form
    71,062/109,508 = 109,508/x
  3. Step 3: Cross multiply
    71,062x = 109,508 × 109,508
  4. Step 4: Simplify right side
    71,062x = 11,992,002,064
  5. Step 5: Solve for x
    x = 11,992,002,064/71,062
  6. Step 6: Final answer
    x = 168,754.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.