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Finding the Third Proportional to 315,432.28 and 693,945.56

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Solution

The third proportional to 315,432.28 and 693,945.56 is: 1,526,668.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,432.28 : 693,945.56 = 693,945.56 : x
  2. Step 2: Convert to fraction form
    315,432.28/693,945.56 = 693,945.56/x
  3. Step 3: Cross multiply
    315,432.28x = 693,945.56 × 693,945.56
  4. Step 4: Simplify right side
    315,432.28x = 481,560,443,713.44
  5. Step 5: Solve for x
    x = 481,560,443,713.44/315,432.28
  6. Step 6: Final answer
    x = 1,526,668.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.