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Finding the Third Proportional to 138,932 and 301,176

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Solution

The third proportional to 138,932 and 301,176 is: 652,887.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,932 : 301,176 = 301,176 : x
  2. Step 2: Convert to fraction form
    138,932/301,176 = 301,176/x
  3. Step 3: Cross multiply
    138,932x = 301,176 × 301,176
  4. Step 4: Simplify right side
    138,932x = 90,706,982,976
  5. Step 5: Solve for x
    x = 90,706,982,976/138,932
  6. Step 6: Final answer
    x = 652,887.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.