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Finding the Third Proportional to 81,714 and 127,038

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Solution

The third proportional to 81,714 and 127,038 is: 197,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,714 : 127,038 = 127,038 : x
  2. Step 2: Convert to fraction form
    81,714/127,038 = 127,038/x
  3. Step 3: Cross multiply
    81,714x = 127,038 × 127,038
  4. Step 4: Simplify right side
    81,714x = 16,138,653,444
  5. Step 5: Solve for x
    x = 16,138,653,444/81,714
  6. Step 6: Final answer
    x = 197,501.69

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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.