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Finding the Third Proportional to 80,368 and 172,400

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Solution

The third proportional to 80,368 and 172,400 is: 369,820.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,368 : 172,400 = 172,400 : x
  2. Step 2: Convert to fraction form
    80,368/172,400 = 172,400/x
  3. Step 3: Cross multiply
    80,368x = 172,400 × 172,400
  4. Step 4: Simplify right side
    80,368x = 29,721,760,000
  5. Step 5: Solve for x
    x = 29,721,760,000/80,368
  6. Step 6: Final answer
    x = 369,820.82

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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.