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Finding the Third Proportional to 80,982 and 125,712

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Solution

The third proportional to 80,982 and 125,712 is: 195,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,982 : 125,712 = 125,712 : x
  2. Step 2: Convert to fraction form
    80,982/125,712 = 125,712/x
  3. Step 3: Cross multiply
    80,982x = 125,712 × 125,712
  4. Step 4: Simplify right side
    80,982x = 15,803,506,944
  5. Step 5: Solve for x
    x = 15,803,506,944/80,982
  6. Step 6: Final answer
    x = 195,148.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.