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Finding the Third Proportional to 603.56 and 666.84

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Solution

The third proportional to 603.56 and 666.84 is: 736.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.56 : 666.84 = 666.84 : x
  2. Step 2: Convert to fraction form
    603.56/666.84 = 666.84/x
  3. Step 3: Cross multiply
    603.56x = 666.84 × 666.84
  4. Step 4: Simplify right side
    603.56x = 444,680.59
  5. Step 5: Solve for x
    x = 444,680.59/603.56
  6. Step 6: Final answer
    x = 736.76

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.