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Finding the Third Proportional to 300.28 and 653.16

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Solution

The third proportional to 300.28 and 653.16 is: 1,420.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 653.16 = 653.16 : x
  2. Step 2: Convert to fraction form
    300.28/653.16 = 653.16/x
  3. Step 3: Cross multiply
    300.28x = 653.16 × 653.16
  4. Step 4: Simplify right side
    300.28x = 426,613.09
  5. Step 5: Solve for x
    x = 426,613.09/300.28
  6. Step 6: Final answer
    x = 1,420.71

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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.