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Finding the Third Proportional to 138,380.06 and 299,712.38

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Solution

The third proportional to 138,380.06 and 299,712.38 is: 649,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380.06 : 299,712.38 = 299,712.38 : x
  2. Step 2: Convert to fraction form
    138,380.06/299,712.38 = 299,712.38/x
  3. Step 3: Cross multiply
    138,380.06x = 299,712.38 × 299,712.38
  4. Step 4: Simplify right side
    138,380.06x = 89,827,507,728.14
  5. Step 5: Solve for x
    x = 89,827,507,728.14/138,380.06
  6. Step 6: Final answer
    x = 649,136.20

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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.