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Finding the Third Proportional to 189,622 and 406,230

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Solution

The third proportional to 189,622 and 406,230 is: 870,272.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,622 : 406,230 = 406,230 : x
  2. Step 2: Convert to fraction form
    189,622/406,230 = 406,230/x
  3. Step 3: Cross multiply
    189,622x = 406,230 × 406,230
  4. Step 4: Simplify right side
    189,622x = 165,022,812,900
  5. Step 5: Solve for x
    x = 165,022,812,900/189,622
  6. Step 6: Final answer
    x = 870,272.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.