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Finding the Third Proportional to 138,320 and 219,576

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Solution

The third proportional to 138,320 and 219,576 is: 348,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,320 : 219,576 = 219,576 : x
  2. Step 2: Convert to fraction form
    138,320/219,576 = 219,576/x
  3. Step 3: Cross multiply
    138,320x = 219,576 × 219,576
  4. Step 4: Simplify right side
    138,320x = 48,213,619,776
  5. Step 5: Solve for x
    x = 48,213,619,776/138,320
  6. Step 6: Final answer
    x = 348,565.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.