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Finding the Third Proportional to 138,738 and 299,328

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Solution

The third proportional to 138,738 and 299,328 is: 645,801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,738 : 299,328 = 299,328 : x
  2. Step 2: Convert to fraction form
    138,738/299,328 = 299,328/x
  3. Step 3: Cross multiply
    138,738x = 299,328 × 299,328
  4. Step 4: Simplify right side
    138,738x = 89,597,251,584
  5. Step 5: Solve for x
    x = 89,597,251,584/138,738
  6. Step 6: Final answer
    x = 645,801.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.