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Finding the Third Proportional to 18,478 and 40,529

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Solution

The third proportional to 18,478 and 40,529 is: 88,894.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,478 : 40,529 = 40,529 : x
  2. Step 2: Convert to fraction form
    18,478/40,529 = 40,529/x
  3. Step 3: Cross multiply
    18,478x = 40,529 × 40,529
  4. Step 4: Simplify right side
    18,478x = 1,642,599,841
  5. Step 5: Solve for x
    x = 1,642,599,841/18,478
  6. Step 6: Final answer
    x = 88,894.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.