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Finding the Third Proportional to 81,448 and 131,426

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Solution

The third proportional to 81,448 and 131,426 is: 212,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,448 : 131,426 = 131,426 : x
  2. Step 2: Convert to fraction form
    81,448/131,426 = 131,426/x
  3. Step 3: Cross multiply
    81,448x = 131,426 × 131,426
  4. Step 4: Simplify right side
    81,448x = 17,272,793,476
  5. Step 5: Solve for x
    x = 17,272,793,476/81,448
  6. Step 6: Final answer
    x = 212,071.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.