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Finding the Third Proportional to 36,181 and 78,210.50

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Solution

The third proportional to 36,181 and 78,210.50 is: 169,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,181 : 78,210.50 = 78,210.50 : x
  2. Step 2: Convert to fraction form
    36,181/78,210.50 = 78,210.50/x
  3. Step 3: Cross multiply
    36,181x = 78,210.50 × 78,210.50
  4. Step 4: Simplify right side
    36,181x = 6,116,882,310.25
  5. Step 5: Solve for x
    x = 6,116,882,310.25/36,181
  6. Step 6: Final answer
    x = 169,063.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.