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Finding the Third Proportional to 54,682.38 and 78,195.75

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Solution

The third proportional to 54,682.38 and 78,195.75 is: 111,819.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.38 : 78,195.75 = 78,195.75 : x
  2. Step 2: Convert to fraction form
    54,682.38/78,195.75 = 78,195.75/x
  3. Step 3: Cross multiply
    54,682.38x = 78,195.75 × 78,195.75
  4. Step 4: Simplify right side
    54,682.38x = 6,114,575,318.06
  5. Step 5: Solve for x
    x = 6,114,575,318.06/54,682.38
  6. Step 6: Final answer
    x = 111,819.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.