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Finding the Third Proportional to 80,665 and 125,312

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Solution

The third proportional to 80,665 and 125,312 is: 194,670.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,665 : 125,312 = 125,312 : x
  2. Step 2: Convert to fraction form
    80,665/125,312 = 125,312/x
  3. Step 3: Cross multiply
    80,665x = 125,312 × 125,312
  4. Step 4: Simplify right side
    80,665x = 15,703,097,344
  5. Step 5: Solve for x
    x = 15,703,097,344/80,665
  6. Step 6: Final answer
    x = 194,670.52

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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.