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Finding the Third Proportional to 138,523 and 299,192

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Solution

The third proportional to 138,523 and 299,192 is: 646,216.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,523 : 299,192 = 299,192 : x
  2. Step 2: Convert to fraction form
    138,523/299,192 = 299,192/x
  3. Step 3: Cross multiply
    138,523x = 299,192 × 299,192
  4. Step 4: Simplify right side
    138,523x = 89,515,852,864
  5. Step 5: Solve for x
    x = 89,515,852,864/138,523
  6. Step 6: Final answer
    x = 646,216.53

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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.