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Finding the Third Proportional to 133,122 and 286,542

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Solution

The third proportional to 133,122 and 286,542 is: 616,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,122 : 286,542 = 286,542 : x
  2. Step 2: Convert to fraction form
    133,122/286,542 = 286,542/x
  3. Step 3: Cross multiply
    133,122x = 286,542 × 286,542
  4. Step 4: Simplify right side
    133,122x = 82,106,317,764
  5. Step 5: Solve for x
    x = 82,106,317,764/133,122
  6. Step 6: Final answer
    x = 616,774.97

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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.