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Finding the Third Proportional to 1,287 and 1,931

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Solution

The third proportional to 1,287 and 1,931 is: 2,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287 : 1,931 = 1,931 : x
  2. Step 2: Convert to fraction form
    1,287/1,931 = 1,931/x
  3. Step 3: Cross multiply
    1,287x = 1,931 × 1,931
  4. Step 4: Simplify right side
    1,287x = 3,728,761
  5. Step 5: Solve for x
    x = 3,728,761/1,287
  6. Step 6: Final answer
    x = 2,897.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.