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Finding the Third Proportional to 138,788 and 219,548

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Solution

The third proportional to 138,788 and 219,548 is: 347,301.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,788 : 219,548 = 219,548 : x
  2. Step 2: Convert to fraction form
    138,788/219,548 = 219,548/x
  3. Step 3: Cross multiply
    138,788x = 219,548 × 219,548
  4. Step 4: Simplify right side
    138,788x = 48,201,324,304
  5. Step 5: Solve for x
    x = 48,201,324,304/138,788
  6. Step 6: Final answer
    x = 347,301.82

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.