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Finding the Third Proportional to 3,591,631.13 and 7,980,418.69

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Solution

The third proportional to 3,591,631.13 and 7,980,418.69 is: 17,732,077.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591,631.13 : 7,980,418.69 = 7,980,418.69 : x
  2. Step 2: Convert to fraction form
    3,591,631.13/7,980,418.69 = 7,980,418.69/x
  3. Step 3: Cross multiply
    3,591,631.13x = 7,980,418.69 × 7,980,418.69
  4. Step 4: Simplify right side
    3,591,631.13x = 63,687,082,427,799.22
  5. Step 5: Solve for x
    x = 63,687,082,427,799.22/3,591,631.13
  6. Step 6: Final answer
    x = 17,732,077.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.