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Finding the Third Proportional to 318,439 and 464,531

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Solution

The third proportional to 318,439 and 464,531 is: 677,646.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,439 : 464,531 = 464,531 : x
  2. Step 2: Convert to fraction form
    318,439/464,531 = 464,531/x
  3. Step 3: Cross multiply
    318,439x = 464,531 × 464,531
  4. Step 4: Simplify right side
    318,439x = 215,789,049,961
  5. Step 5: Solve for x
    x = 215,789,049,961/318,439
  6. Step 6: Final answer
    x = 677,646.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.