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Finding the Third Proportional to 81,574 and 126,070

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Solution

The third proportional to 81,574 and 126,070 is: 194,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,574 : 126,070 = 126,070 : x
  2. Step 2: Convert to fraction form
    81,574/126,070 = 126,070/x
  3. Step 3: Cross multiply
    81,574x = 126,070 × 126,070
  4. Step 4: Simplify right side
    81,574x = 15,893,644,900
  5. Step 5: Solve for x
    x = 15,893,644,900/81,574
  6. Step 6: Final answer
    x = 194,837.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.