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Finding the Third Proportional to 128,536 and 286,879.50

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Solution

The third proportional to 128,536 and 286,879.50 is: 640,286.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,536 : 286,879.50 = 286,879.50 : x
  2. Step 2: Convert to fraction form
    128,536/286,879.50 = 286,879.50/x
  3. Step 3: Cross multiply
    128,536x = 286,879.50 × 286,879.50
  4. Step 4: Simplify right side
    128,536x = 82,299,847,520.25
  5. Step 5: Solve for x
    x = 82,299,847,520.25/128,536
  6. Step 6: Final answer
    x = 640,286.36

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.