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Finding the Third Proportional to 218,454.05 and 295,145.44

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Solution

The third proportional to 218,454.05 and 295,145.44 is: 398,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,454.05 : 295,145.44 = 295,145.44 : x
  2. Step 2: Convert to fraction form
    218,454.05/295,145.44 = 295,145.44/x
  3. Step 3: Cross multiply
    218,454.05x = 295,145.44 × 295,145.44
  4. Step 4: Simplify right side
    218,454.05x = 87,110,829,277.07
  5. Step 5: Solve for x
    x = 87,110,829,277.07/218,454.05
  6. Step 6: Final answer
    x = 398,760.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.