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Finding the Third Proportional to 358,399.13 and 781,998.75

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Solution

The third proportional to 358,399.13 and 781,998.75 is: 1,706,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,399.13 : 781,998.75 = 781,998.75 : x
  2. Step 2: Convert to fraction form
    358,399.13/781,998.75 = 781,998.75/x
  3. Step 3: Cross multiply
    358,399.13x = 781,998.75 × 781,998.75
  4. Step 4: Simplify right side
    358,399.13x = 611,522,045,001.56
  5. Step 5: Solve for x
    x = 611,522,045,001.56/358,399.13
  6. Step 6: Final answer
    x = 1,706,259.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.