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Finding the Third Proportional to 318,295 and 460,311

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Solution

The third proportional to 318,295 and 460,311 is: 665,691.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,295 : 460,311 = 460,311 : x
  2. Step 2: Convert to fraction form
    318,295/460,311 = 460,311/x
  3. Step 3: Cross multiply
    318,295x = 460,311 × 460,311
  4. Step 4: Simplify right side
    318,295x = 211,886,216,721
  5. Step 5: Solve for x
    x = 211,886,216,721/318,295
  6. Step 6: Final answer
    x = 665,691.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.