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Finding the Third Proportional to 57,478 and 85,864

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Solution

The third proportional to 57,478 and 85,864 is: 128,268.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,478 : 85,864 = 85,864 : x
  2. Step 2: Convert to fraction form
    57,478/85,864 = 85,864/x
  3. Step 3: Cross multiply
    57,478x = 85,864 × 85,864
  4. Step 4: Simplify right side
    57,478x = 7,372,626,496
  5. Step 5: Solve for x
    x = 7,372,626,496/57,478
  6. Step 6: Final answer
    x = 128,268.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.