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Finding the Third Proportional to 81,222 and 129,609

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Solution

The third proportional to 81,222 and 129,609 is: 206,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,222 : 129,609 = 129,609 : x
  2. Step 2: Convert to fraction form
    81,222/129,609 = 129,609/x
  3. Step 3: Cross multiply
    81,222x = 129,609 × 129,609
  4. Step 4: Simplify right side
    81,222x = 16,798,492,881
  5. Step 5: Solve for x
    x = 16,798,492,881/81,222
  6. Step 6: Final answer
    x = 206,821.96

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.