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Finding the Third Proportional to 35,864 and 78,805

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Solution

The third proportional to 35,864 and 78,805 is: 173,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,864 : 78,805 = 78,805 : x
  2. Step 2: Convert to fraction form
    35,864/78,805 = 78,805/x
  3. Step 3: Cross multiply
    35,864x = 78,805 × 78,805
  4. Step 4: Simplify right side
    35,864x = 6,210,228,025
  5. Step 5: Solve for x
    x = 6,210,228,025/35,864
  6. Step 6: Final answer
    x = 173,160.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.