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Finding the Third Proportional to 77,980 and 168,919

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Solution

The third proportional to 77,980 and 168,919 is: 365,909.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980 : 168,919 = 168,919 : x
  2. Step 2: Convert to fraction form
    77,980/168,919 = 168,919/x
  3. Step 3: Cross multiply
    77,980x = 168,919 × 168,919
  4. Step 4: Simplify right side
    77,980x = 28,533,628,561
  5. Step 5: Solve for x
    x = 28,533,628,561/77,980
  6. Step 6: Final answer
    x = 365,909.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.