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Finding the Third Proportional to 72,743 and 109,385

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Solution

The third proportional to 72,743 and 109,385 is: 164,484.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,743 : 109,385 = 109,385 : x
  2. Step 2: Convert to fraction form
    72,743/109,385 = 109,385/x
  3. Step 3: Cross multiply
    72,743x = 109,385 × 109,385
  4. Step 4: Simplify right side
    72,743x = 11,965,078,225
  5. Step 5: Solve for x
    x = 11,965,078,225/72,743
  6. Step 6: Final answer
    x = 164,484.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.