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Finding the Third Proportional to 80,299 and 172,931

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Solution

The third proportional to 80,299 and 172,931 is: 372,422.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,299 : 172,931 = 172,931 : x
  2. Step 2: Convert to fraction form
    80,299/172,931 = 172,931/x
  3. Step 3: Cross multiply
    80,299x = 172,931 × 172,931
  4. Step 4: Simplify right side
    80,299x = 29,905,130,761
  5. Step 5: Solve for x
    x = 29,905,130,761/80,299
  6. Step 6: Final answer
    x = 372,422.21

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.