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Finding the Third Proportional to 100,410 and 218,310

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Solution

The third proportional to 100,410 and 218,310 is: 474,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,410 : 218,310 = 218,310 : x
  2. Step 2: Convert to fraction form
    100,410/218,310 = 218,310/x
  3. Step 3: Cross multiply
    100,410x = 218,310 × 218,310
  4. Step 4: Simplify right side
    100,410x = 47,659,256,100
  5. Step 5: Solve for x
    x = 47,659,256,100/100,410
  6. Step 6: Final answer
    x = 474,646.51

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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.