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Finding the Third Proportional to 981.28 and 2,113.03

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Solution

The third proportional to 981.28 and 2,113.03 is: 4,550.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.28 : 2,113.03 = 2,113.03 : x
  2. Step 2: Convert to fraction form
    981.28/2,113.03 = 2,113.03/x
  3. Step 3: Cross multiply
    981.28x = 2,113.03 × 2,113.03
  4. Step 4: Simplify right side
    981.28x = 4,464,901.06
  5. Step 5: Solve for x
    x = 4,464,901.06/981.28
  6. Step 6: Final answer
    x = 4,550.07

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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.