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Finding the Third Proportional to 81,720 and 115,641

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Solution

The third proportional to 81,720 and 115,641 is: 163,642.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,720 : 115,641 = 115,641 : x
  2. Step 2: Convert to fraction form
    81,720/115,641 = 115,641/x
  3. Step 3: Cross multiply
    81,720x = 115,641 × 115,641
  4. Step 4: Simplify right side
    81,720x = 13,372,840,881
  5. Step 5: Solve for x
    x = 13,372,840,881/81,720
  6. Step 6: Final answer
    x = 163,642.20

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.