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Finding the Third Proportional to 41,553 and 88,935

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Solution

The third proportional to 41,553 and 88,935 is: 190,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,553 : 88,935 = 88,935 : x
  2. Step 2: Convert to fraction form
    41,553/88,935 = 88,935/x
  3. Step 3: Cross multiply
    41,553x = 88,935 × 88,935
  4. Step 4: Simplify right side
    41,553x = 7,909,434,225
  5. Step 5: Solve for x
    x = 7,909,434,225/41,553
  6. Step 6: Final answer
    x = 190,345.68

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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.