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Finding the Third Proportional to 100,416 and 218,322

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Solution

The third proportional to 100,416 and 218,322 is: 474,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,416 : 218,322 = 218,322 : x
  2. Step 2: Convert to fraction form
    100,416/218,322 = 218,322/x
  3. Step 3: Cross multiply
    100,416x = 218,322 × 218,322
  4. Step 4: Simplify right side
    100,416x = 47,664,495,684
  5. Step 5: Solve for x
    x = 47,664,495,684/100,416
  6. Step 6: Final answer
    x = 474,670.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.