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Finding the Third Proportional to 1,666 and 3,931

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Solution

The third proportional to 1,666 and 3,931 is: 9,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,666 : 3,931 = 3,931 : x
  2. Step 2: Convert to fraction form
    1,666/3,931 = 3,931/x
  3. Step 3: Cross multiply
    1,666x = 3,931 × 3,931
  4. Step 4: Simplify right side
    1,666x = 15,452,761
  5. Step 5: Solve for x
    x = 15,452,761/1,666
  6. Step 6: Final answer
    x = 9,275.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.