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Finding the Third Proportional to 80,390 and 171,853

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Solution

The third proportional to 80,390 and 171,853 is: 367,377.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,390 : 171,853 = 171,853 : x
  2. Step 2: Convert to fraction form
    80,390/171,853 = 171,853/x
  3. Step 3: Cross multiply
    80,390x = 171,853 × 171,853
  4. Step 4: Simplify right side
    80,390x = 29,533,453,609
  5. Step 5: Solve for x
    x = 29,533,453,609/80,390
  6. Step 6: Final answer
    x = 367,377.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.