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Finding the Third Proportional to 3,719,287.13 and 5,744,745.28

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Solution

The third proportional to 3,719,287.13 and 5,744,745.28 is: 8,873,232.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719,287.13 : 5,744,745.28 = 5,744,745.28 : x
  2. Step 2: Convert to fraction form
    3,719,287.13/5,744,745.28 = 5,744,745.28/x
  3. Step 3: Cross multiply
    3,719,287.13x = 5,744,745.28 × 5,744,745.28
  4. Step 4: Simplify right side
    3,719,287.13x = 33,002,098,346,444.14
  5. Step 5: Solve for x
    x = 33,002,098,346,444.14/3,719,287.13
  6. Step 6: Final answer
    x = 8,873,232.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.