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Finding the Third Proportional to 85,620.38 and 136,357.88

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Solution

The third proportional to 85,620.38 and 136,357.88 is: 217,161.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,620.38 : 136,357.88 = 136,357.88 : x
  2. Step 2: Convert to fraction form
    85,620.38/136,357.88 = 136,357.88/x
  3. Step 3: Cross multiply
    85,620.38x = 136,357.88 × 136,357.88
  4. Step 4: Simplify right side
    85,620.38x = 18,593,470,074.52
  5. Step 5: Solve for x
    x = 18,593,470,074.52/85,620.38
  6. Step 6: Final answer
    x = 217,161.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.