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Finding the Third Proportional to 110,451 and 172,784

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Solution

The third proportional to 110,451 and 172,784 is: 270,294.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,451 : 172,784 = 172,784 : x
  2. Step 2: Convert to fraction form
    110,451/172,784 = 172,784/x
  3. Step 3: Cross multiply
    110,451x = 172,784 × 172,784
  4. Step 4: Simplify right side
    110,451x = 29,854,310,656
  5. Step 5: Solve for x
    x = 29,854,310,656/110,451
  6. Step 6: Final answer
    x = 270,294.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.