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Finding the Third Proportional to 312,585.75 and 682,966.69

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Solution

The third proportional to 312,585.75 and 682,966.69 is: 1,492,209.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,585.75 : 682,966.69 = 682,966.69 : x
  2. Step 2: Convert to fraction form
    312,585.75/682,966.69 = 682,966.69/x
  3. Step 3: Cross multiply
    312,585.75x = 682,966.69 × 682,966.69
  4. Step 4: Simplify right side
    312,585.75x = 466,443,496,234.72
  5. Step 5: Solve for x
    x = 466,443,496,234.72/312,585.75
  6. Step 6: Final answer
    x = 1,492,209.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.