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Finding the Third Proportional to 1,603.13 and 3,709.69

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Solution

The third proportional to 1,603.13 and 3,709.69 is: 8,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.13 : 3,709.69 = 3,709.69 : x
  2. Step 2: Convert to fraction form
    1,603.13/3,709.69 = 3,709.69/x
  3. Step 3: Cross multiply
    1,603.13x = 3,709.69 × 3,709.69
  4. Step 4: Simplify right side
    1,603.13x = 13,761,781.35
  5. Step 5: Solve for x
    x = 13,761,781.35/1,603.13
  6. Step 6: Final answer
    x = 8,584.35

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.