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Finding the Third Proportional to 80,038 and 172,490

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Solution

The third proportional to 80,038 and 172,490 is: 371,733.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,038 : 172,490 = 172,490 : x
  2. Step 2: Convert to fraction form
    80,038/172,490 = 172,490/x
  3. Step 3: Cross multiply
    80,038x = 172,490 × 172,490
  4. Step 4: Simplify right side
    80,038x = 29,752,800,100
  5. Step 5: Solve for x
    x = 29,752,800,100/80,038
  6. Step 6: Final answer
    x = 371,733.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.