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Finding the Third Proportional to 57,990 and 88,857

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Solution

The third proportional to 57,990 and 88,857 is: 136,153.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,990 : 88,857 = 88,857 : x
  2. Step 2: Convert to fraction form
    57,990/88,857 = 88,857/x
  3. Step 3: Cross multiply
    57,990x = 88,857 × 88,857
  4. Step 4: Simplify right side
    57,990x = 7,895,566,449
  5. Step 5: Solve for x
    x = 7,895,566,449/57,990
  6. Step 6: Final answer
    x = 136,153.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.