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Finding the Third Proportional to 913.78 and 1,943.37

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Solution

The third proportional to 913.78 and 1,943.37 is: 4,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.78 : 1,943.37 = 1,943.37 : x
  2. Step 2: Convert to fraction form
    913.78/1,943.37 = 1,943.37/x
  3. Step 3: Cross multiply
    913.78x = 1,943.37 × 1,943.37
  4. Step 4: Simplify right side
    913.78x = 3,776,676.03
  5. Step 5: Solve for x
    x = 3,776,676.03/913.78
  6. Step 6: Final answer
    x = 4,133.02

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.