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Finding the Third Proportional to 316,815 and 486,309

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Solution

The third proportional to 316,815 and 486,309 is: 746,481.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,815 : 486,309 = 486,309 : x
  2. Step 2: Convert to fraction form
    316,815/486,309 = 486,309/x
  3. Step 3: Cross multiply
    316,815x = 486,309 × 486,309
  4. Step 4: Simplify right side
    316,815x = 236,496,443,481
  5. Step 5: Solve for x
    x = 236,496,443,481/316,815
  6. Step 6: Final answer
    x = 746,481.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.