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Finding the Third Proportional to 85,414 and 130,187

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Solution

The third proportional to 85,414 and 130,187 is: 198,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414 : 130,187 = 130,187 : x
  2. Step 2: Convert to fraction form
    85,414/130,187 = 130,187/x
  3. Step 3: Cross multiply
    85,414x = 130,187 × 130,187
  4. Step 4: Simplify right side
    85,414x = 16,948,654,969
  5. Step 5: Solve for x
    x = 16,948,654,969/85,414
  6. Step 6: Final answer
    x = 198,429.47

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.