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Finding the Third Proportional to 215,979.75 and 319,716

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Solution

The third proportional to 215,979.75 and 319,716 is: 473,277.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,979.75 : 319,716 = 319,716 : x
  2. Step 2: Convert to fraction form
    215,979.75/319,716 = 319,716/x
  3. Step 3: Cross multiply
    215,979.75x = 319,716 × 319,716
  4. Step 4: Simplify right side
    215,979.75x = 102,218,320,656
  5. Step 5: Solve for x
    x = 102,218,320,656/215,979.75
  6. Step 6: Final answer
    x = 473,277.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.