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Finding the Third Proportional to 77,829 and 151,770

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Solution

The third proportional to 77,829 and 151,770 is: 295,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,829 : 151,770 = 151,770 : x
  2. Step 2: Convert to fraction form
    77,829/151,770 = 151,770/x
  3. Step 3: Cross multiply
    77,829x = 151,770 × 151,770
  4. Step 4: Simplify right side
    77,829x = 23,034,132,900
  5. Step 5: Solve for x
    x = 23,034,132,900/77,829
  6. Step 6: Final answer
    x = 295,958.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.