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Finding the Third Proportional to 611.77 and 1,333.18

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Solution

The third proportional to 611.77 and 1,333.18 is: 2,905.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.77 : 1,333.18 = 1,333.18 : x
  2. Step 2: Convert to fraction form
    611.77/1,333.18 = 1,333.18/x
  3. Step 3: Cross multiply
    611.77x = 1,333.18 × 1,333.18
  4. Step 4: Simplify right side
    611.77x = 1,777,362.87
  5. Step 5: Solve for x
    x = 1,777,362.87/611.77
  6. Step 6: Final answer
    x = 2,905.27

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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.