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Finding the Third Proportional to 300.66 and 646.27

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Solution

The third proportional to 300.66 and 646.27 is: 1,389.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.66 : 646.27 = 646.27 : x
  2. Step 2: Convert to fraction form
    300.66/646.27 = 646.27/x
  3. Step 3: Cross multiply
    300.66x = 646.27 × 646.27
  4. Step 4: Simplify right side
    300.66x = 417,659.26
  5. Step 5: Solve for x
    x = 417,659.26/300.66
  6. Step 6: Final answer
    x = 1,389.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.