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Finding the Third Proportional to 100,558 and 210,908

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Solution

The third proportional to 100,558 and 210,908 is: 442,353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,558 : 210,908 = 210,908 : x
  2. Step 2: Convert to fraction form
    100,558/210,908 = 210,908/x
  3. Step 3: Cross multiply
    100,558x = 210,908 × 210,908
  4. Step 4: Simplify right side
    100,558x = 44,482,184,464
  5. Step 5: Solve for x
    x = 44,482,184,464/100,558
  6. Step 6: Final answer
    x = 442,353.51

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.