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Finding the Third Proportional to 55,736 and 86,397

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Solution

The third proportional to 55,736 and 86,397 is: 133,924.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,736 : 86,397 = 86,397 : x
  2. Step 2: Convert to fraction form
    55,736/86,397 = 86,397/x
  3. Step 3: Cross multiply
    55,736x = 86,397 × 86,397
  4. Step 4: Simplify right side
    55,736x = 7,464,441,609
  5. Step 5: Solve for x
    x = 7,464,441,609/55,736
  6. Step 6: Final answer
    x = 133,924.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.