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Finding the Third Proportional to 72,492 and 159,701

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Solution

The third proportional to 72,492 and 159,701 is: 351,823.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,492 : 159,701 = 159,701 : x
  2. Step 2: Convert to fraction form
    72,492/159,701 = 159,701/x
  3. Step 3: Cross multiply
    72,492x = 159,701 × 159,701
  4. Step 4: Simplify right side
    72,492x = 25,504,409,401
  5. Step 5: Solve for x
    x = 25,504,409,401/72,492
  6. Step 6: Final answer
    x = 351,823.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.