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Finding the Third Proportional to 676,755 and 1,372,140

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Solution

The third proportional to 676,755 and 1,372,140 is: 2,782,052.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,755 : 1,372,140 = 1,372,140 : x
  2. Step 2: Convert to fraction form
    676,755/1,372,140 = 1,372,140/x
  3. Step 3: Cross multiply
    676,755x = 1,372,140 × 1,372,140
  4. Step 4: Simplify right side
    676,755x = 1,882,768,179,600
  5. Step 5: Solve for x
    x = 1,882,768,179,600/676,755
  6. Step 6: Final answer
    x = 2,782,052.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.