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Finding the Third Proportional to 138,418.88 and 300,849.19

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Solution

The third proportional to 138,418.88 and 300,849.19 is: 653,886.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,418.88 : 300,849.19 = 300,849.19 : x
  2. Step 2: Convert to fraction form
    138,418.88/300,849.19 = 300,849.19/x
  3. Step 3: Cross multiply
    138,418.88x = 300,849.19 × 300,849.19
  4. Step 4: Simplify right side
    138,418.88x = 90,510,233,619.41
  5. Step 5: Solve for x
    x = 90,510,233,619.41/138,418.88
  6. Step 6: Final answer
    x = 653,886.50

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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.