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Finding the Third Proportional to 311,541 and 680,739

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Solution

The third proportional to 311,541 and 680,739 is: 1,487,462.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,541 : 680,739 = 680,739 : x
  2. Step 2: Convert to fraction form
    311,541/680,739 = 680,739/x
  3. Step 3: Cross multiply
    311,541x = 680,739 × 680,739
  4. Step 4: Simplify right side
    311,541x = 463,405,586,121
  5. Step 5: Solve for x
    x = 463,405,586,121/311,541
  6. Step 6: Final answer
    x = 1,487,462.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.