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Finding the Third Proportional to 286.45 and 430.95

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Solution

The third proportional to 286.45 and 430.95 is: 648.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286.45 : 430.95 = 430.95 : x
  2. Step 2: Convert to fraction form
    286.45/430.95 = 430.95/x
  3. Step 3: Cross multiply
    286.45x = 430.95 × 430.95
  4. Step 4: Simplify right side
    286.45x = 185,713.86
  5. Step 5: Solve for x
    x = 185,713.86/286.45
  6. Step 6: Final answer
    x = 648.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.