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Finding the Third Proportional to 722.57 and 1,587.20

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Solution

The third proportional to 722.57 and 1,587.20 is: 3,486.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.57 : 1,587.20 = 1,587.20 : x
  2. Step 2: Convert to fraction form
    722.57/1,587.20 = 1,587.20/x
  3. Step 3: Cross multiply
    722.57x = 1,587.20 × 1,587.20
  4. Step 4: Simplify right side
    722.57x = 2,519,201.36
  5. Step 5: Solve for x
    x = 2,519,201.36/722.57
  6. Step 6: Final answer
    x = 3,486.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.