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Finding the Third Proportional to 680,115 and 1,489,503

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Solution

The third proportional to 680,115 and 1,489,503 is: 3,262,123.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,115 : 1,489,503 = 1,489,503 : x
  2. Step 2: Convert to fraction form
    680,115/1,489,503 = 1,489,503/x
  3. Step 3: Cross multiply
    680,115x = 1,489,503 × 1,489,503
  4. Step 4: Simplify right side
    680,115x = 2,218,619,187,009
  5. Step 5: Solve for x
    x = 2,218,619,187,009/680,115
  6. Step 6: Final answer
    x = 3,262,123.59

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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.