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Finding the Third Proportional to 77,769.75 and 163,839.75

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Solution

The third proportional to 77,769.75 and 163,839.75 is: 345,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769.75 : 163,839.75 = 163,839.75 : x
  2. Step 2: Convert to fraction form
    77,769.75/163,839.75 = 163,839.75/x
  3. Step 3: Cross multiply
    77,769.75x = 163,839.75 × 163,839.75
  4. Step 4: Simplify right side
    77,769.75x = 26,843,463,680.06
  5. Step 5: Solve for x
    x = 26,843,463,680.06/77,769.75
  6. Step 6: Final answer
    x = 345,165.87

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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.