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Finding the Third Proportional to 133,246 and 286,256

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Solution

The third proportional to 133,246 and 286,256 is: 614,971.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,246 : 286,256 = 286,256 : x
  2. Step 2: Convert to fraction form
    133,246/286,256 = 286,256/x
  3. Step 3: Cross multiply
    133,246x = 286,256 × 286,256
  4. Step 4: Simplify right side
    133,246x = 81,942,497,536
  5. Step 5: Solve for x
    x = 81,942,497,536/133,246
  6. Step 6: Final answer
    x = 614,971.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.