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Finding the Third Proportional to 313,416 and 682,776

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Solution

The third proportional to 313,416 and 682,776 is: 1,487,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,416 : 682,776 = 682,776 : x
  2. Step 2: Convert to fraction form
    313,416/682,776 = 682,776/x
  3. Step 3: Cross multiply
    313,416x = 682,776 × 682,776
  4. Step 4: Simplify right side
    313,416x = 466,183,066,176
  5. Step 5: Solve for x
    x = 466,183,066,176/313,416
  6. Step 6: Final answer
    x = 1,487,425.87

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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.