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Finding the Third Proportional to 57,442 and 85,818

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Solution

The third proportional to 57,442 and 85,818 is: 128,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,442 : 85,818 = 85,818 : x
  2. Step 2: Convert to fraction form
    57,442/85,818 = 85,818/x
  3. Step 3: Cross multiply
    57,442x = 85,818 × 85,818
  4. Step 4: Simplify right side
    57,442x = 7,364,729,124
  5. Step 5: Solve for x
    x = 7,364,729,124/57,442
  6. Step 6: Final answer
    x = 128,211.57

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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.