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Finding the Third Proportional to 1,203.19 and 1,603.97

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Solution

The third proportional to 1,203.19 and 1,603.97 is: 2,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.19 : 1,603.97 = 1,603.97 : x
  2. Step 2: Convert to fraction form
    1,203.19/1,603.97 = 1,603.97/x
  3. Step 3: Cross multiply
    1,203.19x = 1,603.97 × 1,603.97
  4. Step 4: Simplify right side
    1,203.19x = 2,572,715.75
  5. Step 5: Solve for x
    x = 2,572,715.75/1,203.19
  6. Step 6: Final answer
    x = 2,138.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.