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Finding the Third Proportional to 81,139 and 118,569

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Solution

The third proportional to 81,139 and 118,569 is: 173,265.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,139 : 118,569 = 118,569 : x
  2. Step 2: Convert to fraction form
    81,139/118,569 = 118,569/x
  3. Step 3: Cross multiply
    81,139x = 118,569 × 118,569
  4. Step 4: Simplify right side
    81,139x = 14,058,607,761
  5. Step 5: Solve for x
    x = 14,058,607,761/81,139
  6. Step 6: Final answer
    x = 173,265.73

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.