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Finding the Third Proportional to 313,832 and 680,080

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Solution

The third proportional to 313,832 and 680,080 is: 1,473,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,832 : 680,080 = 680,080 : x
  2. Step 2: Convert to fraction form
    313,832/680,080 = 680,080/x
  3. Step 3: Cross multiply
    313,832x = 680,080 × 680,080
  4. Step 4: Simplify right side
    313,832x = 462,508,806,400
  5. Step 5: Solve for x
    x = 462,508,806,400/313,832
  6. Step 6: Final answer
    x = 1,473,746.48

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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.