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Finding the Third Proportional to 1,966.78 and 4,277.81

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Solution

The third proportional to 1,966.78 and 4,277.81 is: 9,304.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,966.78 : 4,277.81 = 4,277.81 : x
  2. Step 2: Convert to fraction form
    1,966.78/4,277.81 = 4,277.81/x
  3. Step 3: Cross multiply
    1,966.78x = 4,277.81 × 4,277.81
  4. Step 4: Simplify right side
    1,966.78x = 18,299,679.79
  5. Step 5: Solve for x
    x = 18,299,679.79/1,966.78
  6. Step 6: Final answer
    x = 9,304.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.