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Finding the Third Proportional to 35,802 and 78,165

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Solution

The third proportional to 35,802 and 78,165 is: 170,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802 : 78,165 = 78,165 : x
  2. Step 2: Convert to fraction form
    35,802/78,165 = 78,165/x
  3. Step 3: Cross multiply
    35,802x = 78,165 × 78,165
  4. Step 4: Simplify right side
    35,802x = 6,109,767,225
  5. Step 5: Solve for x
    x = 6,109,767,225/35,802
  6. Step 6: Final answer
    x = 170,654.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.