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Finding the Third Proportional to 2,138.91 and 4,492.97

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Solution

The third proportional to 2,138.91 and 4,492.97 is: 9,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.91 : 4,492.97 = 4,492.97 : x
  2. Step 2: Convert to fraction form
    2,138.91/4,492.97 = 4,492.97/x
  3. Step 3: Cross multiply
    2,138.91x = 4,492.97 × 4,492.97
  4. Step 4: Simplify right side
    2,138.91x = 20,186,768.19
  5. Step 5: Solve for x
    x = 20,186,768.19/2,138.91
  6. Step 6: Final answer
    x = 9,437.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.