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Finding the Third Proportional to 99,818 and 218,392

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Solution

The third proportional to 99,818 and 218,392 is: 477,820.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,818 : 218,392 = 218,392 : x
  2. Step 2: Convert to fraction form
    99,818/218,392 = 218,392/x
  3. Step 3: Cross multiply
    99,818x = 218,392 × 218,392
  4. Step 4: Simplify right side
    99,818x = 47,695,065,664
  5. Step 5: Solve for x
    x = 47,695,065,664/99,818
  6. Step 6: Final answer
    x = 477,820.29

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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.