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Finding the Third Proportional to 80,720 and 172,560

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Solution

The third proportional to 80,720 and 172,560 is: 368,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,720 : 172,560 = 172,560 : x
  2. Step 2: Convert to fraction form
    80,720/172,560 = 172,560/x
  3. Step 3: Cross multiply
    80,720x = 172,560 × 172,560
  4. Step 4: Simplify right side
    80,720x = 29,776,953,600
  5. Step 5: Solve for x
    x = 29,776,953,600/80,720
  6. Step 6: Final answer
    x = 368,891.89

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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.