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Finding the Third Proportional to 259,189.88 and 400,448.81

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Solution

The third proportional to 259,189.88 and 400,448.81 is: 618,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,189.88 : 400,448.81 = 400,448.81 : x
  2. Step 2: Convert to fraction form
    259,189.88/400,448.81 = 400,448.81/x
  3. Step 3: Cross multiply
    259,189.88x = 400,448.81 × 400,448.81
  4. Step 4: Simplify right side
    259,189.88x = 160,359,251,432.66
  5. Step 5: Solve for x
    x = 160,359,251,432.66/259,189.88
  6. Step 6: Final answer
    x = 618,694.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.