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Finding the Third Proportional to 128,524.50 and 286,857

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Solution

The third proportional to 128,524.50 and 286,857 is: 640,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,524.50 : 286,857 = 286,857 : x
  2. Step 2: Convert to fraction form
    128,524.50/286,857 = 286,857/x
  3. Step 3: Cross multiply
    128,524.50x = 286,857 × 286,857
  4. Step 4: Simplify right side
    128,524.50x = 82,286,938,449
  5. Step 5: Solve for x
    x = 82,286,938,449/128,524.50
  6. Step 6: Final answer
    x = 640,243.21

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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.