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Finding the Third Proportional to 391,223.25 and 857,256.75

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Solution

The third proportional to 391,223.25 and 857,256.75 is: 1,878,439.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,223.25 : 857,256.75 = 857,256.75 : x
  2. Step 2: Convert to fraction form
    391,223.25/857,256.75 = 857,256.75/x
  3. Step 3: Cross multiply
    391,223.25x = 857,256.75 × 857,256.75
  4. Step 4: Simplify right side
    391,223.25x = 734,889,135,420.56
  5. Step 5: Solve for x
    x = 734,889,135,420.56/391,223.25
  6. Step 6: Final answer
    x = 1,878,439.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.