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Finding the Third Proportional to 140,844 and 218,427

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Solution

The third proportional to 140,844 and 218,427 is: 338,746.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,844 : 218,427 = 218,427 : x
  2. Step 2: Convert to fraction form
    140,844/218,427 = 218,427/x
  3. Step 3: Cross multiply
    140,844x = 218,427 × 218,427
  4. Step 4: Simplify right side
    140,844x = 47,710,354,329
  5. Step 5: Solve for x
    x = 47,710,354,329/140,844
  6. Step 6: Final answer
    x = 338,746.09

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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.