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Finding the Third Proportional to 318,612 and 688,845

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Solution

The third proportional to 318,612 and 688,845 is: 1,489,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,612 : 688,845 = 688,845 : x
  2. Step 2: Convert to fraction form
    318,612/688,845 = 688,845/x
  3. Step 3: Cross multiply
    318,612x = 688,845 × 688,845
  4. Step 4: Simplify right side
    318,612x = 474,507,434,025
  5. Step 5: Solve for x
    x = 474,507,434,025/318,612
  6. Step 6: Final answer
    x = 1,489,295.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.