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Finding the Third Proportional to 57,900 and 85,218

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Solution

The third proportional to 57,900 and 85,218 is: 125,425.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,900 : 85,218 = 85,218 : x
  2. Step 2: Convert to fraction form
    57,900/85,218 = 85,218/x
  3. Step 3: Cross multiply
    57,900x = 85,218 × 85,218
  4. Step 4: Simplify right side
    57,900x = 7,262,107,524
  5. Step 5: Solve for x
    x = 7,262,107,524/57,900
  6. Step 6: Final answer
    x = 125,425.00

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.