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Finding the Third Proportional to 318,464 and 481,280

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Solution

The third proportional to 318,464 and 481,280 is: 727,336.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,464 : 481,280 = 481,280 : x
  2. Step 2: Convert to fraction form
    318,464/481,280 = 481,280/x
  3. Step 3: Cross multiply
    318,464x = 481,280 × 481,280
  4. Step 4: Simplify right side
    318,464x = 231,630,438,400
  5. Step 5: Solve for x
    x = 231,630,438,400/318,464
  6. Step 6: Final answer
    x = 727,336.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.