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Finding the Third Proportional to 74,912.34 and 159,358.64

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Solution

The third proportional to 74,912.34 and 159,358.64 is: 338,998.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,912.34 : 159,358.64 = 159,358.64 : x
  2. Step 2: Convert to fraction form
    74,912.34/159,358.64 = 159,358.64/x
  3. Step 3: Cross multiply
    74,912.34x = 159,358.64 × 159,358.64
  4. Step 4: Simplify right side
    74,912.34x = 25,395,176,341.85
  5. Step 5: Solve for x
    x = 25,395,176,341.85/74,912.34
  6. Step 6: Final answer
    x = 338,998.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.