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Finding the Third Proportional to 57,318 and 88,569

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Solution

The third proportional to 57,318 and 88,569 is: 136,858.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,318 : 88,569 = 88,569 : x
  2. Step 2: Convert to fraction form
    57,318/88,569 = 88,569/x
  3. Step 3: Cross multiply
    57,318x = 88,569 × 88,569
  4. Step 4: Simplify right side
    57,318x = 7,844,467,761
  5. Step 5: Solve for x
    x = 7,844,467,761/57,318
  6. Step 6: Final answer
    x = 136,858.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.