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Finding the Third Proportional to 102,876 and 218,392

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Solution

The third proportional to 102,876 and 218,392 is: 463,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,876 : 218,392 = 218,392 : x
  2. Step 2: Convert to fraction form
    102,876/218,392 = 218,392/x
  3. Step 3: Cross multiply
    102,876x = 218,392 × 218,392
  4. Step 4: Simplify right side
    102,876x = 47,695,065,664
  5. Step 5: Solve for x
    x = 47,695,065,664/102,876
  6. Step 6: Final answer
    x = 463,617.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.