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Finding the Third Proportional to 1,219.22 and 1,742.34

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Solution

The third proportional to 1,219.22 and 1,742.34 is: 2,489.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.22 : 1,742.34 = 1,742.34 : x
  2. Step 2: Convert to fraction form
    1,219.22/1,742.34 = 1,742.34/x
  3. Step 3: Cross multiply
    1,219.22x = 1,742.34 × 1,742.34
  4. Step 4: Simplify right side
    1,219.22x = 3,035,761.74
  5. Step 5: Solve for x
    x = 3,035,761.74/1,219.22
  6. Step 6: Final answer
    x = 2,489.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.