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Finding the Third Proportional to 1,966.78 and 3,822.19

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Solution

The third proportional to 1,966.78 and 3,822.19 is: 7,427.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 3,822.19 = 3,822.19 : x
  2. Step 2: Convert to fraction form
    1,966.78/3,822.19 = 3,822.19/x
  3. Step 3: Cross multiply
    1,966.78x = 3,822.19 × 3,822.19
  4. Step 4: Simplify right side
    1,966.78x = 14,609,117.29
  5. Step 5: Solve for x
    x = 14,609,117.29/1,966.78
  6. Step 6: Final answer
    x = 7,427.93

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.