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Finding the Third Proportional to 83,100 and 132,102

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Solution

The third proportional to 83,100 and 132,102 is: 209,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,100 : 132,102 = 132,102 : x
  2. Step 2: Convert to fraction form
    83,100/132,102 = 132,102/x
  3. Step 3: Cross multiply
    83,100x = 132,102 × 132,102
  4. Step 4: Simplify right side
    83,100x = 17,450,938,404
  5. Step 5: Solve for x
    x = 17,450,938,404/83,100
  6. Step 6: Final answer
    x = 209,999.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.