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Finding the Third Proportional to 79,874 and 153,538

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Solution

The third proportional to 79,874 and 153,538 is: 295,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,874 : 153,538 = 153,538 : x
  2. Step 2: Convert to fraction form
    79,874/153,538 = 153,538/x
  3. Step 3: Cross multiply
    79,874x = 153,538 × 153,538
  4. Step 4: Simplify right side
    79,874x = 23,573,917,444
  5. Step 5: Solve for x
    x = 23,573,917,444/79,874
  6. Step 6: Final answer
    x = 295,138.81

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.