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Finding the Third Proportional to 189,952 and 406,256

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Solution

The third proportional to 189,952 and 406,256 is: 868,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,952 : 406,256 = 406,256 : x
  2. Step 2: Convert to fraction form
    189,952/406,256 = 406,256/x
  3. Step 3: Cross multiply
    189,952x = 406,256 × 406,256
  4. Step 4: Simplify right side
    189,952x = 165,043,937,536
  5. Step 5: Solve for x
    x = 165,043,937,536/189,952
  6. Step 6: Final answer
    x = 868,871.81

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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.