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Finding the Third Proportional to 1,979.75 and 4,264.21

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Solution

The third proportional to 1,979.75 and 4,264.21 is: 9,184.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.75 : 4,264.21 = 4,264.21 : x
  2. Step 2: Convert to fraction form
    1,979.75/4,264.21 = 4,264.21/x
  3. Step 3: Cross multiply
    1,979.75x = 4,264.21 × 4,264.21
  4. Step 4: Simplify right side
    1,979.75x = 18,183,461.61
  5. Step 5: Solve for x
    x = 18,183,461.61/1,979.75
  6. Step 6: Final answer
    x = 9,184.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.