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Finding the Third Proportional to 41,566 and 88,968

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Solution

The third proportional to 41,566 and 88,968 is: 190,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,566 : 88,968 = 88,968 : x
  2. Step 2: Convert to fraction form
    41,566/88,968 = 88,968/x
  3. Step 3: Cross multiply
    41,566x = 88,968 × 88,968
  4. Step 4: Simplify right side
    41,566x = 7,915,305,024
  5. Step 5: Solve for x
    x = 7,915,305,024/41,566
  6. Step 6: Final answer
    x = 190,427.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.