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Finding the Third Proportional to 172,376 and 361,600

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Solution

The third proportional to 172,376 and 361,600 is: 758,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,376 : 361,600 = 361,600 : x
  2. Step 2: Convert to fraction form
    172,376/361,600 = 361,600/x
  3. Step 3: Cross multiply
    172,376x = 361,600 × 361,600
  4. Step 4: Simplify right side
    172,376x = 130,754,560,000
  5. Step 5: Solve for x
    x = 130,754,560,000/172,376
  6. Step 6: Final answer
    x = 758,542.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.