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Finding the Third Proportional to 80,039 and 172,492

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Solution

The third proportional to 80,039 and 172,492 is: 371,737.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,039 : 172,492 = 172,492 : x
  2. Step 2: Convert to fraction form
    80,039/172,492 = 172,492/x
  3. Step 3: Cross multiply
    80,039x = 172,492 × 172,492
  4. Step 4: Simplify right side
    80,039x = 29,753,490,064
  5. Step 5: Solve for x
    x = 29,753,490,064/80,039
  6. Step 6: Final answer
    x = 371,737.40

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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.