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Finding the Third Proportional to 138,197 and 299,720

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Solution

The third proportional to 138,197 and 299,720 is: 650,029.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,197 : 299,720 = 299,720 : x
  2. Step 2: Convert to fraction form
    138,197/299,720 = 299,720/x
  3. Step 3: Cross multiply
    138,197x = 299,720 × 299,720
  4. Step 4: Simplify right side
    138,197x = 89,832,078,400
  5. Step 5: Solve for x
    x = 89,832,078,400/138,197
  6. Step 6: Final answer
    x = 650,029.15

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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.