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Finding the Third Proportional to 85,720.50 and 135,846.56

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Solution

The third proportional to 85,720.50 and 135,846.56 is: 215,284.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,720.50 : 135,846.56 = 135,846.56 : x
  2. Step 2: Convert to fraction form
    85,720.50/135,846.56 = 135,846.56/x
  3. Step 3: Cross multiply
    85,720.50x = 135,846.56 × 135,846.56
  4. Step 4: Simplify right side
    85,720.50x = 18,454,288,543.07
  5. Step 5: Solve for x
    x = 18,454,288,543.07/85,720.50
  6. Step 6: Final answer
    x = 215,284.42

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.