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Finding the Third Proportional to 189,666 and 266,841

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Solution

The third proportional to 189,666 and 266,841 is: 375,418.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,666 : 266,841 = 266,841 : x
  2. Step 2: Convert to fraction form
    189,666/266,841 = 266,841/x
  3. Step 3: Cross multiply
    189,666x = 266,841 × 266,841
  4. Step 4: Simplify right side
    189,666x = 71,204,119,281
  5. Step 5: Solve for x
    x = 71,204,119,281/189,666
  6. Step 6: Final answer
    x = 375,418.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.