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Finding the Third Proportional to 2,178.14 and 4,637.25

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Solution

The third proportional to 2,178.14 and 4,637.25 is: 9,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,178.14 : 4,637.25 = 4,637.25 : x
  2. Step 2: Convert to fraction form
    2,178.14/4,637.25 = 4,637.25/x
  3. Step 3: Cross multiply
    2,178.14x = 4,637.25 × 4,637.25
  4. Step 4: Simplify right side
    2,178.14x = 21,504,087.56
  5. Step 5: Solve for x
    x = 21,504,087.56/2,178.14
  6. Step 6: Final answer
    x = 9,872.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.