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Finding the Third Proportional to 81,841.75 and 127,737

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Solution

The third proportional to 81,841.75 and 127,737 is: 199,369.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,841.75 : 127,737 = 127,737 : x
  2. Step 2: Convert to fraction form
    81,841.75/127,737 = 127,737/x
  3. Step 3: Cross multiply
    81,841.75x = 127,737 × 127,737
  4. Step 4: Simplify right side
    81,841.75x = 16,316,741,169
  5. Step 5: Solve for x
    x = 16,316,741,169/81,841.75
  6. Step 6: Final answer
    x = 199,369.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.