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Finding the Third Proportional to 120,716 and 172,374

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Solution

The third proportional to 120,716 and 172,374 is: 246,138.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,716 : 172,374 = 172,374 : x
  2. Step 2: Convert to fraction form
    120,716/172,374 = 172,374/x
  3. Step 3: Cross multiply
    120,716x = 172,374 × 172,374
  4. Step 4: Simplify right side
    120,716x = 29,712,795,876
  5. Step 5: Solve for x
    x = 29,712,795,876/120,716
  6. Step 6: Final answer
    x = 246,138.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.