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Finding the Third Proportional to 189,170 and 406,216

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Solution

The third proportional to 189,170 and 406,216 is: 872,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,170 : 406,216 = 406,216 : x
  2. Step 2: Convert to fraction form
    189,170/406,216 = 406,216/x
  3. Step 3: Cross multiply
    189,170x = 406,216 × 406,216
  4. Step 4: Simplify right side
    189,170x = 165,011,438,656
  5. Step 5: Solve for x
    x = 165,011,438,656/189,170
  6. Step 6: Final answer
    x = 872,291.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.