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Finding the Third Proportional to 72,646 and 109,387

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Solution

The third proportional to 72,646 and 109,387 is: 164,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,646 : 109,387 = 109,387 : x
  2. Step 2: Convert to fraction form
    72,646/109,387 = 109,387/x
  3. Step 3: Cross multiply
    72,646x = 109,387 × 109,387
  4. Step 4: Simplify right side
    72,646x = 11,965,515,769
  5. Step 5: Solve for x
    x = 11,965,515,769/72,646
  6. Step 6: Final answer
    x = 164,709.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.