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Finding the Third Proportional to 78,092 and 170,320

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Solution

The third proportional to 78,092 and 170,320 is: 371,470.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092 : 170,320 = 170,320 : x
  2. Step 2: Convert to fraction form
    78,092/170,320 = 170,320/x
  3. Step 3: Cross multiply
    78,092x = 170,320 × 170,320
  4. Step 4: Simplify right side
    78,092x = 29,008,902,400
  5. Step 5: Solve for x
    x = 29,008,902,400/78,092
  6. Step 6: Final answer
    x = 371,470.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.