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Finding the Third Proportional to 36,090 and 76,129.50

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Solution

The third proportional to 36,090 and 76,129.50 is: 160,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,090 : 76,129.50 = 76,129.50 : x
  2. Step 2: Convert to fraction form
    36,090/76,129.50 = 76,129.50/x
  3. Step 3: Cross multiply
    36,090x = 76,129.50 × 76,129.50
  4. Step 4: Simplify right side
    36,090x = 5,795,700,770.25
  5. Step 5: Solve for x
    x = 5,795,700,770.25/36,090
  6. Step 6: Final answer
    x = 160,590.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.