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Finding the Third Proportional to 36,836 and 78,154

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Solution

The third proportional to 36,836 and 78,154 is: 165,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,836 : 78,154 = 78,154 : x
  2. Step 2: Convert to fraction form
    36,836/78,154 = 78,154/x
  3. Step 3: Cross multiply
    36,836x = 78,154 × 78,154
  4. Step 4: Simplify right side
    36,836x = 6,108,047,716
  5. Step 5: Solve for x
    x = 6,108,047,716/36,836
  6. Step 6: Final answer
    x = 165,817.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.