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Finding the Third Proportional to 82,129.50 and 118,683

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Solution

The third proportional to 82,129.50 and 118,683 is: 171,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,129.50 : 118,683 = 118,683 : x
  2. Step 2: Convert to fraction form
    82,129.50/118,683 = 118,683/x
  3. Step 3: Cross multiply
    82,129.50x = 118,683 × 118,683
  4. Step 4: Simplify right side
    82,129.50x = 14,085,654,489
  5. Step 5: Solve for x
    x = 14,085,654,489/82,129.50
  6. Step 6: Final answer
    x = 171,505.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.