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Finding the Third Proportional to 2,190 and 4,744.31

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Solution

The third proportional to 2,190 and 4,744.31 is: 10,277.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190 : 4,744.31 = 4,744.31 : x
  2. Step 2: Convert to fraction form
    2,190/4,744.31 = 4,744.31/x
  3. Step 3: Cross multiply
    2,190x = 4,744.31 × 4,744.31
  4. Step 4: Simplify right side
    2,190x = 22,508,501.10
  5. Step 5: Solve for x
    x = 22,508,501.10/2,190
  6. Step 6: Final answer
    x = 10,277.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.