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Finding the Third Proportional to 51,058 and 79,151

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Solution

The third proportional to 51,058 and 79,151 is: 122,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,058 : 79,151 = 79,151 : x
  2. Step 2: Convert to fraction form
    51,058/79,151 = 79,151/x
  3. Step 3: Cross multiply
    51,058x = 79,151 × 79,151
  4. Step 4: Simplify right side
    51,058x = 6,264,880,801
  5. Step 5: Solve for x
    x = 6,264,880,801/51,058
  6. Step 6: Final answer
    x = 122,701.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.