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Finding the Third Proportional to 36,930 and 78,291

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Solution

The third proportional to 36,930 and 78,291 is: 165,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,930 : 78,291 = 78,291 : x
  2. Step 2: Convert to fraction form
    36,930/78,291 = 78,291/x
  3. Step 3: Cross multiply
    36,930x = 78,291 × 78,291
  4. Step 4: Simplify right side
    36,930x = 6,129,480,681
  5. Step 5: Solve for x
    x = 6,129,480,681/36,930
  6. Step 6: Final answer
    x = 165,975.65

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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.