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Finding the Third Proportional to 318,510 and 464,616

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Solution

The third proportional to 318,510 and 464,616 is: 677,743.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,510 : 464,616 = 464,616 : x
  2. Step 2: Convert to fraction form
    318,510/464,616 = 464,616/x
  3. Step 3: Cross multiply
    318,510x = 464,616 × 464,616
  4. Step 4: Simplify right side
    318,510x = 215,868,027,456
  5. Step 5: Solve for x
    x = 215,868,027,456/318,510
  6. Step 6: Final answer
    x = 677,743.33

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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.