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Finding the Third Proportional to 57,402 and 76,986

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Solution

The third proportional to 57,402 and 76,986 is: 103,251.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,402 : 76,986 = 76,986 : x
  2. Step 2: Convert to fraction form
    57,402/76,986 = 76,986/x
  3. Step 3: Cross multiply
    57,402x = 76,986 × 76,986
  4. Step 4: Simplify right side
    57,402x = 5,926,844,196
  5. Step 5: Solve for x
    x = 5,926,844,196/57,402
  6. Step 6: Final answer
    x = 103,251.53

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.