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Finding the Third Proportional to 215,974.13 and 319,710.38

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Solution

The third proportional to 215,974.13 and 319,710.38 is: 473,273.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,974.13 : 319,710.38 = 319,710.38 : x
  2. Step 2: Convert to fraction form
    215,974.13/319,710.38 = 319,710.38/x
  3. Step 3: Cross multiply
    215,974.13x = 319,710.38 × 319,710.38
  4. Step 4: Simplify right side
    215,974.13x = 102,214,723,882.64
  5. Step 5: Solve for x
    x = 102,214,723,882.64/215,974.13
  6. Step 6: Final answer
    x = 473,273.01

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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.