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Finding the Third Proportional to 300.19 and 656.06

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Solution

The third proportional to 300.19 and 656.06 is: 1,433.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.19 : 656.06 = 656.06 : x
  2. Step 2: Convert to fraction form
    300.19/656.06 = 656.06/x
  3. Step 3: Cross multiply
    300.19x = 656.06 × 656.06
  4. Step 4: Simplify right side
    300.19x = 430,418.00
  5. Step 5: Solve for x
    x = 430,418.00/300.19
  6. Step 6: Final answer
    x = 1,433.83

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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.