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Finding the Third Proportional to 722.57 and 1,638.35

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Solution

The third proportional to 722.57 and 1,638.35 is: 3,714.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 1,638.35 = 1,638.35 : x
  2. Step 2: Convert to fraction form
    722.57/1,638.35 = 1,638.35/x
  3. Step 3: Cross multiply
    722.57x = 1,638.35 × 1,638.35
  4. Step 4: Simplify right side
    722.57x = 2,684,195.84
  5. Step 5: Solve for x
    x = 2,684,195.84/722.57
  6. Step 6: Final answer
    x = 3,714.81

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.