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Finding the Third Proportional to 81,546 and 125,497

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Solution

The third proportional to 81,546 and 125,497 is: 193,136.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,546 : 125,497 = 125,497 : x
  2. Step 2: Convert to fraction form
    81,546/125,497 = 125,497/x
  3. Step 3: Cross multiply
    81,546x = 125,497 × 125,497
  4. Step 4: Simplify right side
    81,546x = 15,749,497,009
  5. Step 5: Solve for x
    x = 15,749,497,009/81,546
  6. Step 6: Final answer
    x = 193,136.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.