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Finding the Third Proportional to 316,326.75 and 682,479

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Solution

The third proportional to 316,326.75 and 682,479 is: 1,472,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,326.75 : 682,479 = 682,479 : x
  2. Step 2: Convert to fraction form
    316,326.75/682,479 = 682,479/x
  3. Step 3: Cross multiply
    316,326.75x = 682,479 × 682,479
  4. Step 4: Simplify right side
    316,326.75x = 465,777,585,441
  5. Step 5: Solve for x
    x = 465,777,585,441/316,326.75
  6. Step 6: Final answer
    x = 1,472,457.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.