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Finding the Third Proportional to 603.94 and 906.28

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Solution

The third proportional to 603.94 and 906.28 is: 1,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.94 : 906.28 = 906.28 : x
  2. Step 2: Convert to fraction form
    603.94/906.28 = 906.28/x
  3. Step 3: Cross multiply
    603.94x = 906.28 × 906.28
  4. Step 4: Simplify right side
    603.94x = 821,345.70
  5. Step 5: Solve for x
    x = 821,345.70/603.94
  6. Step 6: Final answer
    x = 1,359.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.