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Finding the Third Proportional to 67,086 and 106,139

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Solution

The third proportional to 67,086 and 106,139 is: 167,926.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,086 : 106,139 = 106,139 : x
  2. Step 2: Convert to fraction form
    67,086/106,139 = 106,139/x
  3. Step 3: Cross multiply
    67,086x = 106,139 × 106,139
  4. Step 4: Simplify right side
    67,086x = 11,265,487,321
  5. Step 5: Solve for x
    x = 11,265,487,321/67,086
  6. Step 6: Final answer
    x = 167,926.05

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.