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Finding the Third Proportional to 66,854 and 88,743

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Solution

The third proportional to 66,854 and 88,743 is: 117,798.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,854 : 88,743 = 88,743 : x
  2. Step 2: Convert to fraction form
    66,854/88,743 = 88,743/x
  3. Step 3: Cross multiply
    66,854x = 88,743 × 88,743
  4. Step 4: Simplify right side
    66,854x = 7,875,320,049
  5. Step 5: Solve for x
    x = 7,875,320,049/66,854
  6. Step 6: Final answer
    x = 117,798.79

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.