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Finding the Third Proportional to 300.56 and 657.66

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Solution

The third proportional to 300.56 and 657.66 is: 1,439.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.56 : 657.66 = 657.66 : x
  2. Step 2: Convert to fraction form
    300.56/657.66 = 657.66/x
  3. Step 3: Cross multiply
    300.56x = 657.66 × 657.66
  4. Step 4: Simplify right side
    300.56x = 432,511.74
  5. Step 5: Solve for x
    x = 432,511.74/300.56
  6. Step 6: Final answer
    x = 1,439.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.