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Finding the Third Proportional to 80,392 and 172,448

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Solution

The third proportional to 80,392 and 172,448 is: 369,916.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,392 : 172,448 = 172,448 : x
  2. Step 2: Convert to fraction form
    80,392/172,448 = 172,448/x
  3. Step 3: Cross multiply
    80,392x = 172,448 × 172,448
  4. Step 4: Simplify right side
    80,392x = 29,738,312,704
  5. Step 5: Solve for x
    x = 29,738,312,704/80,392
  6. Step 6: Final answer
    x = 369,916.32

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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.