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Finding the Third Proportional to 112,921 and 169,397

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Solution

The third proportional to 112,921 and 169,397 is: 254,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,921 : 169,397 = 169,397 : x
  2. Step 2: Convert to fraction form
    112,921/169,397 = 169,397/x
  3. Step 3: Cross multiply
    112,921x = 169,397 × 169,397
  4. Step 4: Simplify right side
    112,921x = 28,695,343,609
  5. Step 5: Solve for x
    x = 28,695,343,609/112,921
  6. Step 6: Final answer
    x = 254,118.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.