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Finding the Third Proportional to 2,214.84 and 3,920.91

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Solution

The third proportional to 2,214.84 and 3,920.91 is: 6,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.84 : 3,920.91 = 3,920.91 : x
  2. Step 2: Convert to fraction form
    2,214.84/3,920.91 = 3,920.91/x
  3. Step 3: Cross multiply
    2,214.84x = 3,920.91 × 3,920.91
  4. Step 4: Simplify right side
    2,214.84x = 15,373,505.82
  5. Step 5: Solve for x
    x = 15,373,505.82/2,214.84
  6. Step 6: Final answer
    x = 6,941.12

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.