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Finding the Third Proportional to 140,879 and 218,478

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Solution

The third proportional to 140,879 and 218,478 is: 338,820.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,879 : 218,478 = 218,478 : x
  2. Step 2: Convert to fraction form
    140,879/218,478 = 218,478/x
  3. Step 3: Cross multiply
    140,879x = 218,478 × 218,478
  4. Step 4: Simplify right side
    140,879x = 47,732,636,484
  5. Step 5: Solve for x
    x = 47,732,636,484/140,879
  6. Step 6: Final answer
    x = 338,820.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.