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Finding the Third Proportional to 286.13 and 430.88

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Solution

The third proportional to 286.13 and 430.88 is: 648.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.13 : 430.88 = 430.88 : x
  2. Step 2: Convert to fraction form
    286.13/430.88 = 430.88/x
  3. Step 3: Cross multiply
    286.13x = 430.88 × 430.88
  4. Step 4: Simplify right side
    286.13x = 185,653.27
  5. Step 5: Solve for x
    x = 185,653.27/286.13
  6. Step 6: Final answer
    x = 648.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.