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Finding the Third Proportional to 2,187.84 and 3,126.09

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Solution

The third proportional to 2,187.84 and 3,126.09 is: 4,466.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.84 : 3,126.09 = 3,126.09 : x
  2. Step 2: Convert to fraction form
    2,187.84/3,126.09 = 3,126.09/x
  3. Step 3: Cross multiply
    2,187.84x = 3,126.09 × 3,126.09
  4. Step 4: Simplify right side
    2,187.84x = 9,772,462.13
  5. Step 5: Solve for x
    x = 9,772,462.13/2,187.84
  6. Step 6: Final answer
    x = 4,466.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.