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Finding the Third Proportional to 156,643 and 252,218

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Solution

The third proportional to 156,643 and 252,218 is: 406,107.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,643 : 252,218 = 252,218 : x
  2. Step 2: Convert to fraction form
    156,643/252,218 = 252,218/x
  3. Step 3: Cross multiply
    156,643x = 252,218 × 252,218
  4. Step 4: Simplify right side
    156,643x = 63,613,919,524
  5. Step 5: Solve for x
    x = 63,613,919,524/156,643
  6. Step 6: Final answer
    x = 406,107.64

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.