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Finding the Third Proportional to 313,998 and 680,124

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Solution

The third proportional to 313,998 and 680,124 is: 1,473,157.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,998 : 680,124 = 680,124 : x
  2. Step 2: Convert to fraction form
    313,998/680,124 = 680,124/x
  3. Step 3: Cross multiply
    313,998x = 680,124 × 680,124
  4. Step 4: Simplify right side
    313,998x = 462,568,655,376
  5. Step 5: Solve for x
    x = 462,568,655,376/313,998
  6. Step 6: Final answer
    x = 1,473,157.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.