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Finding the Third Proportional to 315,021.38 and 691,278.75

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Solution

The third proportional to 315,021.38 and 691,278.75 is: 1,516,932.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,021.38 : 691,278.75 = 691,278.75 : x
  2. Step 2: Convert to fraction form
    315,021.38/691,278.75 = 691,278.75/x
  3. Step 3: Cross multiply
    315,021.38x = 691,278.75 × 691,278.75
  4. Step 4: Simplify right side
    315,021.38x = 477,866,310,201.56
  5. Step 5: Solve for x
    x = 477,866,310,201.56/315,021.38
  6. Step 6: Final answer
    x = 1,516,932.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.