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Finding the Third Proportional to 315,676 and 693,560

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Solution

The third proportional to 315,676 and 693,560 is: 1,523,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,676 : 693,560 = 693,560 : x
  2. Step 2: Convert to fraction form
    315,676/693,560 = 693,560/x
  3. Step 3: Cross multiply
    315,676x = 693,560 × 693,560
  4. Step 4: Simplify right side
    315,676x = 481,025,473,600
  5. Step 5: Solve for x
    x = 481,025,473,600/315,676
  6. Step 6: Final answer
    x = 1,523,794.88

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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.