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Finding the Third Proportional to 75,578 and 165,700

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Solution

The third proportional to 75,578 and 165,700 is: 363,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,578 : 165,700 = 165,700 : x
  2. Step 2: Convert to fraction form
    75,578/165,700 = 165,700/x
  3. Step 3: Cross multiply
    75,578x = 165,700 × 165,700
  4. Step 4: Simplify right side
    75,578x = 27,456,490,000
  5. Step 5: Solve for x
    x = 27,456,490,000/75,578
  6. Step 6: Final answer
    x = 363,286.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.