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Finding the Third Proportional to 293.27 and 640.95

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Solution

The third proportional to 293.27 and 640.95 is: 1,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.27 : 640.95 = 640.95 : x
  2. Step 2: Convert to fraction form
    293.27/640.95 = 640.95/x
  3. Step 3: Cross multiply
    293.27x = 640.95 × 640.95
  4. Step 4: Simplify right side
    293.27x = 410,818.40
  5. Step 5: Solve for x
    x = 410,818.40/293.27
  6. Step 6: Final answer
    x = 1,400.80

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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.