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Finding the Third Proportional to 318,514 and 464,622

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Solution

The third proportional to 318,514 and 464,622 is: 677,752.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,514 : 464,622 = 464,622 : x
  2. Step 2: Convert to fraction form
    318,514/464,622 = 464,622/x
  3. Step 3: Cross multiply
    318,514x = 464,622 × 464,622
  4. Step 4: Simplify right side
    318,514x = 215,873,602,884
  5. Step 5: Solve for x
    x = 215,873,602,884/318,514
  6. Step 6: Final answer
    x = 677,752.32

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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.