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Finding the Third Proportional to 140,882 and 218,483

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Solution

The third proportional to 140,882 and 218,483 is: 338,828.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,882 : 218,483 = 218,483 : x
  2. Step 2: Convert to fraction form
    140,882/218,483 = 218,483/x
  3. Step 3: Cross multiply
    140,882x = 218,483 × 218,483
  4. Step 4: Simplify right side
    140,882x = 47,734,821,289
  5. Step 5: Solve for x
    x = 47,734,821,289/140,882
  6. Step 6: Final answer
    x = 338,828.39

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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.