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Finding the Third Proportional to 67,370 and 105,691

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Solution

The third proportional to 67,370 and 105,691 is: 165,809.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,370 : 105,691 = 105,691 : x
  2. Step 2: Convert to fraction form
    67,370/105,691 = 105,691/x
  3. Step 3: Cross multiply
    67,370x = 105,691 × 105,691
  4. Step 4: Simplify right side
    67,370x = 11,170,587,481
  5. Step 5: Solve for x
    x = 11,170,587,481/67,370
  6. Step 6: Final answer
    x = 165,809.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.