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Finding the Third Proportional to 316,249 and 688,626

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Solution

The third proportional to 316,249 and 688,626 is: 1,499,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,249 : 688,626 = 688,626 : x
  2. Step 2: Convert to fraction form
    316,249/688,626 = 688,626/x
  3. Step 3: Cross multiply
    316,249x = 688,626 × 688,626
  4. Step 4: Simplify right side
    316,249x = 474,205,767,876
  5. Step 5: Solve for x
    x = 474,205,767,876/316,249
  6. Step 6: Final answer
    x = 1,499,469.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.