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Finding the Third Proportional to 552,633.89 and 878,775.33

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Solution

The third proportional to 552,633.89 and 878,775.33 is: 1,397,391.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,633.89 : 878,775.33 = 878,775.33 : x
  2. Step 2: Convert to fraction form
    552,633.89/878,775.33 = 878,775.33/x
  3. Step 3: Cross multiply
    552,633.89x = 878,775.33 × 878,775.33
  4. Step 4: Simplify right side
    552,633.89x = 772,246,077,321.20
  5. Step 5: Solve for x
    x = 772,246,077,321.20/552,633.89
  6. Step 6: Final answer
    x = 1,397,391.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.