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Finding the Third Proportional to 53,198 and 78,770

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Solution

The third proportional to 53,198 and 78,770 is: 116,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,198 : 78,770 = 78,770 : x
  2. Step 2: Convert to fraction form
    53,198/78,770 = 78,770/x
  3. Step 3: Cross multiply
    53,198x = 78,770 × 78,770
  4. Step 4: Simplify right side
    53,198x = 6,204,712,900
  5. Step 5: Solve for x
    x = 6,204,712,900/53,198
  6. Step 6: Final answer
    x = 116,634.33

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.