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Finding the Third Proportional to 77,965.31 and 167,921.16

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Solution

The third proportional to 77,965.31 and 167,921.16 is: 361,667.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,965.31 : 167,921.16 = 167,921.16 : x
  2. Step 2: Convert to fraction form
    77,965.31/167,921.16 = 167,921.16/x
  3. Step 3: Cross multiply
    77,965.31x = 167,921.16 × 167,921.16
  4. Step 4: Simplify right side
    77,965.31x = 28,197,514,716.34
  5. Step 5: Solve for x
    x = 28,197,514,716.34/77,965.31
  6. Step 6: Final answer
    x = 361,667.44

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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.