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Finding the Third Proportional to 318,294 and 460,309

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Solution

The third proportional to 318,294 and 460,309 is: 665,687.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,294 : 460,309 = 460,309 : x
  2. Step 2: Convert to fraction form
    318,294/460,309 = 460,309/x
  3. Step 3: Cross multiply
    318,294x = 460,309 × 460,309
  4. Step 4: Simplify right side
    318,294x = 211,884,375,481
  5. Step 5: Solve for x
    x = 211,884,375,481/318,294
  6. Step 6: Final answer
    x = 665,687.62

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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.