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Finding the Third Proportional to 159,004.50 and 215,178.75

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Solution

The third proportional to 159,004.50 and 215,178.75 is: 291,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,004.50 : 215,178.75 = 215,178.75 : x
  2. Step 2: Convert to fraction form
    159,004.50/215,178.75 = 215,178.75/x
  3. Step 3: Cross multiply
    159,004.50x = 215,178.75 × 215,178.75
  4. Step 4: Simplify right side
    159,004.50x = 46,301,894,451.56
  5. Step 5: Solve for x
    x = 46,301,894,451.56/159,004.50
  6. Step 6: Final answer
    x = 291,198.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.