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Finding the Third Proportional to 180,135 and 391,981

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Solution

The third proportional to 180,135 and 391,981 is: 852,966.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,135 : 391,981 = 391,981 : x
  2. Step 2: Convert to fraction form
    180,135/391,981 = 391,981/x
  3. Step 3: Cross multiply
    180,135x = 391,981 × 391,981
  4. Step 4: Simplify right side
    180,135x = 153,649,104,361
  5. Step 5: Solve for x
    x = 153,649,104,361/180,135
  6. Step 6: Final answer
    x = 852,966.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.