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Finding the Third Proportional to 1,989.56 and 4,645.97

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Solution

The third proportional to 1,989.56 and 4,645.97 is: 10,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,989.56 : 4,645.97 = 4,645.97 : x
  2. Step 2: Convert to fraction form
    1,989.56/4,645.97 = 4,645.97/x
  3. Step 3: Cross multiply
    1,989.56x = 4,645.97 × 4,645.97
  4. Step 4: Simplify right side
    1,989.56x = 21,585,025.63
  5. Step 5: Solve for x
    x = 21,585,025.63/1,989.56
  6. Step 6: Final answer
    x = 10,849.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.