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Finding the Third Proportional to 55,636 and 86,154

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Solution

The third proportional to 55,636 and 86,154 is: 133,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,636 : 86,154 = 86,154 : x
  2. Step 2: Convert to fraction form
    55,636/86,154 = 86,154/x
  3. Step 3: Cross multiply
    55,636x = 86,154 × 86,154
  4. Step 4: Simplify right side
    55,636x = 7,422,511,716
  5. Step 5: Solve for x
    x = 7,422,511,716/55,636
  6. Step 6: Final answer
    x = 133,412.03

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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.