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Finding the Third Proportional to 1,888.25 and 4,390.38

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Solution

The third proportional to 1,888.25 and 4,390.38 is: 10,208.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.25 : 4,390.38 = 4,390.38 : x
  2. Step 2: Convert to fraction form
    1,888.25/4,390.38 = 4,390.38/x
  3. Step 3: Cross multiply
    1,888.25x = 4,390.38 × 4,390.38
  4. Step 4: Simplify right side
    1,888.25x = 19,275,392.64
  5. Step 5: Solve for x
    x = 19,275,392.64/1,888.25
  6. Step 6: Final answer
    x = 10,208.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.