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Finding the Third Proportional to 72,318 and 109,497

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Solution

The third proportional to 72,318 and 109,497 is: 165,789.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,318 : 109,497 = 109,497 : x
  2. Step 2: Convert to fraction form
    72,318/109,497 = 109,497/x
  3. Step 3: Cross multiply
    72,318x = 109,497 × 109,497
  4. Step 4: Simplify right side
    72,318x = 11,989,593,009
  5. Step 5: Solve for x
    x = 11,989,593,009/72,318
  6. Step 6: Final answer
    x = 165,789.89

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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.