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Finding the Third Proportional to 739.41 and 1,603.78

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Solution

The third proportional to 739.41 and 1,603.78 is: 3,478.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.41 : 1,603.78 = 1,603.78 : x
  2. Step 2: Convert to fraction form
    739.41/1,603.78 = 1,603.78/x
  3. Step 3: Cross multiply
    739.41x = 1,603.78 × 1,603.78
  4. Step 4: Simplify right side
    739.41x = 2,572,114.30
  5. Step 5: Solve for x
    x = 2,572,114.30/739.41
  6. Step 6: Final answer
    x = 3,478.62

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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.