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Finding the Third Proportional to 78,067.65 and 167,975.86

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Solution

The third proportional to 78,067.65 and 167,975.86 is: 361,428.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,067.65 : 167,975.86 = 167,975.86 : x
  2. Step 2: Convert to fraction form
    78,067.65/167,975.86 = 167,975.86/x
  3. Step 3: Cross multiply
    78,067.65x = 167,975.86 × 167,975.86
  4. Step 4: Simplify right side
    78,067.65x = 28,215,889,332.77
  5. Step 5: Solve for x
    x = 28,215,889,332.77/78,067.65
  6. Step 6: Final answer
    x = 361,428.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.