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Finding the Third Proportional to 344,780 and 758,680

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Solution

The third proportional to 344,780 and 758,680 is: 1,669,456.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,780 : 758,680 = 758,680 : x
  2. Step 2: Convert to fraction form
    344,780/758,680 = 758,680/x
  3. Step 3: Cross multiply
    344,780x = 758,680 × 758,680
  4. Step 4: Simplify right side
    344,780x = 575,595,342,400
  5. Step 5: Solve for x
    x = 575,595,342,400/344,780
  6. Step 6: Final answer
    x = 1,669,456.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.