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Finding the Third Proportional to 128,538 and 286,884

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Solution

The third proportional to 128,538 and 286,884 is: 640,296.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,538 : 286,884 = 286,884 : x
  2. Step 2: Convert to fraction form
    128,538/286,884 = 286,884/x
  3. Step 3: Cross multiply
    128,538x = 286,884 × 286,884
  4. Step 4: Simplify right side
    128,538x = 82,302,429,456
  5. Step 5: Solve for x
    x = 82,302,429,456/128,538
  6. Step 6: Final answer
    x = 640,296.48

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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.