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Finding the Third Proportional to 697.22 and 1,114.31

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Solution

The third proportional to 697.22 and 1,114.31 is: 1,780.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.22 : 1,114.31 = 1,114.31 : x
  2. Step 2: Convert to fraction form
    697.22/1,114.31 = 1,114.31/x
  3. Step 3: Cross multiply
    697.22x = 1,114.31 × 1,114.31
  4. Step 4: Simplify right side
    697.22x = 1,241,692.35
  5. Step 5: Solve for x
    x = 1,241,692.35/697.22
  6. Step 6: Final answer
    x = 1,780.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.