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Finding the Third Proportional to 561.66 and 1,187.44

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Solution

The third proportional to 561.66 and 1,187.44 is: 2,510.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.66 : 1,187.44 = 1,187.44 : x
  2. Step 2: Convert to fraction form
    561.66/1,187.44 = 1,187.44/x
  3. Step 3: Cross multiply
    561.66x = 1,187.44 × 1,187.44
  4. Step 4: Simplify right side
    561.66x = 1,410,007.82
  5. Step 5: Solve for x
    x = 1,410,007.82/561.66
  6. Step 6: Final answer
    x = 2,510.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.