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Finding the Third Proportional to 138,719.46 and 208,078.56

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Solution

The third proportional to 138,719.46 and 208,078.56 is: 312,116.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,719.46 : 208,078.56 = 208,078.56 : x
  2. Step 2: Convert to fraction form
    138,719.46/208,078.56 = 208,078.56/x
  3. Step 3: Cross multiply
    138,719.46x = 208,078.56 × 208,078.56
  4. Step 4: Simplify right side
    138,719.46x = 43,296,686,546.45
  5. Step 5: Solve for x
    x = 43,296,686,546.45/138,719.46
  6. Step 6: Final answer
    x = 312,116.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.