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Finding the Third Proportional to 78,158 and 161,675

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Solution

The third proportional to 78,158 and 161,675 is: 334,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,158 : 161,675 = 161,675 : x
  2. Step 2: Convert to fraction form
    78,158/161,675 = 161,675/x
  3. Step 3: Cross multiply
    78,158x = 161,675 × 161,675
  4. Step 4: Simplify right side
    78,158x = 26,138,805,625
  5. Step 5: Solve for x
    x = 26,138,805,625/78,158
  6. Step 6: Final answer
    x = 334,435.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.