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Finding the Third Proportional to 138,405.75 and 299,767.13

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Solution

The third proportional to 138,405.75 and 299,767.13 is: 649,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,405.75 : 299,767.13 = 299,767.13 : x
  2. Step 2: Convert to fraction form
    138,405.75/299,767.13 = 299,767.13/x
  3. Step 3: Cross multiply
    138,405.75x = 299,767.13 × 299,767.13
  4. Step 4: Simplify right side
    138,405.75x = 89,860,329,230.77
  5. Step 5: Solve for x
    x = 89,860,329,230.77/138,405.75
  6. Step 6: Final answer
    x = 649,252.86

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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.