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Finding the Third Proportional to 734.73 and 1,603.35

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Solution

The third proportional to 734.73 and 1,603.35 is: 3,498.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.73 : 1,603.35 = 1,603.35 : x
  2. Step 2: Convert to fraction form
    734.73/1,603.35 = 1,603.35/x
  3. Step 3: Cross multiply
    734.73x = 1,603.35 × 1,603.35
  4. Step 4: Simplify right side
    734.73x = 2,570,728.40
  5. Step 5: Solve for x
    x = 2,570,728.40/734.73
  6. Step 6: Final answer
    x = 3,498.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.