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Finding the Third Proportional to 36,145.75 and 77,830

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Solution

The third proportional to 36,145.75 and 77,830 is: 167,585.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,145.75 : 77,830 = 77,830 : x
  2. Step 2: Convert to fraction form
    36,145.75/77,830 = 77,830/x
  3. Step 3: Cross multiply
    36,145.75x = 77,830 × 77,830
  4. Step 4: Simplify right side
    36,145.75x = 6,057,508,900
  5. Step 5: Solve for x
    x = 6,057,508,900/36,145.75
  6. Step 6: Final answer
    x = 167,585.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.