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Finding the Third Proportional to 618.47 and 1,358.44

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Solution

The third proportional to 618.47 and 1,358.44 is: 2,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.47 : 1,358.44 = 1,358.44 : x
  2. Step 2: Convert to fraction form
    618.47/1,358.44 = 1,358.44/x
  3. Step 3: Cross multiply
    618.47x = 1,358.44 × 1,358.44
  4. Step 4: Simplify right side
    618.47x = 1,845,352.44
  5. Step 5: Solve for x
    x = 1,845,352.44/618.47
  6. Step 6: Final answer
    x = 2,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.