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Finding the Third Proportional to 189,666 and 406,323

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Solution

The third proportional to 189,666 and 406,323 is: 870,469.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,666 : 406,323 = 406,323 : x
  2. Step 2: Convert to fraction form
    189,666/406,323 = 406,323/x
  3. Step 3: Cross multiply
    189,666x = 406,323 × 406,323
  4. Step 4: Simplify right side
    189,666x = 165,098,380,329
  5. Step 5: Solve for x
    x = 165,098,380,329/189,666
  6. Step 6: Final answer
    x = 870,469.04

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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.