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Finding the Third Proportional to 80,712 and 164,988

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Solution

The third proportional to 80,712 and 164,988 is: 337,261.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,712 : 164,988 = 164,988 : x
  2. Step 2: Convert to fraction form
    80,712/164,988 = 164,988/x
  3. Step 3: Cross multiply
    80,712x = 164,988 × 164,988
  4. Step 4: Simplify right side
    80,712x = 27,221,040,144
  5. Step 5: Solve for x
    x = 27,221,040,144/80,712
  6. Step 6: Final answer
    x = 337,261.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.