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Finding the Third Proportional to 913.78 and 1,983.09

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Solution

The third proportional to 913.78 and 1,983.09 is: 4,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.78 : 1,983.09 = 1,983.09 : x
  2. Step 2: Convert to fraction form
    913.78/1,983.09 = 1,983.09/x
  3. Step 3: Cross multiply
    913.78x = 1,983.09 × 1,983.09
  4. Step 4: Simplify right side
    913.78x = 3,932,660.82
  5. Step 5: Solve for x
    x = 3,932,660.82/913.78
  6. Step 6: Final answer
    x = 4,303.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.