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Finding the Third Proportional to 221,375.25 and 310,638.38

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Solution

The third proportional to 221,375.25 and 310,638.38 is: 435,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,375.25 : 310,638.38 = 310,638.38 : x
  2. Step 2: Convert to fraction form
    221,375.25/310,638.38 = 310,638.38/x
  3. Step 3: Cross multiply
    221,375.25x = 310,638.38 × 310,638.38
  4. Step 4: Simplify right side
    221,375.25x = 96,496,200,022.64
  5. Step 5: Solve for x
    x = 96,496,200,022.64/221,375.25
  6. Step 6: Final answer
    x = 435,894.26

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.