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Finding the Third Proportional to 318,966 and 690,420

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Solution

The third proportional to 318,966 and 690,420 is: 1,494,453.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,966 : 690,420 = 690,420 : x
  2. Step 2: Convert to fraction form
    318,966/690,420 = 690,420/x
  3. Step 3: Cross multiply
    318,966x = 690,420 × 690,420
  4. Step 4: Simplify right side
    318,966x = 476,679,776,400
  5. Step 5: Solve for x
    x = 476,679,776,400/318,966
  6. Step 6: Final answer
    x = 1,494,453.25

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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.