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Finding the Third Proportional to 136,479 and 218,008

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Solution

The third proportional to 136,479 and 218,008 is: 348,240.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,479 : 218,008 = 218,008 : x
  2. Step 2: Convert to fraction form
    136,479/218,008 = 218,008/x
  3. Step 3: Cross multiply
    136,479x = 218,008 × 218,008
  4. Step 4: Simplify right side
    136,479x = 47,527,488,064
  5. Step 5: Solve for x
    x = 47,527,488,064/136,479
  6. Step 6: Final answer
    x = 348,240.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.