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Finding the Third Proportional to 55,696 and 86,318

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Solution

The third proportional to 55,696 and 86,318 is: 133,776.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,696 : 86,318 = 86,318 : x
  2. Step 2: Convert to fraction form
    55,696/86,318 = 86,318/x
  3. Step 3: Cross multiply
    55,696x = 86,318 × 86,318
  4. Step 4: Simplify right side
    55,696x = 7,450,797,124
  5. Step 5: Solve for x
    x = 7,450,797,124/55,696
  6. Step 6: Final answer
    x = 133,776.16

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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.