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Finding the Third Proportional to 35,816 and 78,780

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Solution

The third proportional to 35,816 and 78,780 is: 173,282.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,816 : 78,780 = 78,780 : x
  2. Step 2: Convert to fraction form
    35,816/78,780 = 78,780/x
  3. Step 3: Cross multiply
    35,816x = 78,780 × 78,780
  4. Step 4: Simplify right side
    35,816x = 6,206,288,400
  5. Step 5: Solve for x
    x = 6,206,288,400/35,816
  6. Step 6: Final answer
    x = 173,282.57

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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.