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Finding the Third Proportional to 138,521 and 299,188

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Solution

The third proportional to 138,521 and 299,188 is: 646,208.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,521 : 299,188 = 299,188 : x
  2. Step 2: Convert to fraction form
    138,521/299,188 = 299,188/x
  3. Step 3: Cross multiply
    138,521x = 299,188 × 299,188
  4. Step 4: Simplify right side
    138,521x = 89,513,459,344
  5. Step 5: Solve for x
    x = 89,513,459,344/138,521
  6. Step 6: Final answer
    x = 646,208.58

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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.