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Finding the Third Proportional to 318,963 and 690,414

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Solution

The third proportional to 318,963 and 690,414 is: 1,494,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,963 : 690,414 = 690,414 : x
  2. Step 2: Convert to fraction form
    318,963/690,414 = 690,414/x
  3. Step 3: Cross multiply
    318,963x = 690,414 × 690,414
  4. Step 4: Simplify right side
    318,963x = 476,671,491,396
  5. Step 5: Solve for x
    x = 476,671,491,396/318,963
  6. Step 6: Final answer
    x = 1,494,441.33

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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.