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Finding the Third Proportional to 2,116 and 2,959

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Solution

The third proportional to 2,116 and 2,959 is: 4,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 2,959 = 2,959 : x
  2. Step 2: Convert to fraction form
    2,116/2,959 = 2,959/x
  3. Step 3: Cross multiply
    2,116x = 2,959 × 2,959
  4. Step 4: Simplify right side
    2,116x = 8,755,681
  5. Step 5: Solve for x
    x = 8,755,681/2,116
  6. Step 6: Final answer
    x = 4,137.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.