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Finding the Third Proportional to 78,821 and 175,138

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Solution

The third proportional to 78,821 and 175,138 is: 389,151.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,821 : 175,138 = 175,138 : x
  2. Step 2: Convert to fraction form
    78,821/175,138 = 175,138/x
  3. Step 3: Cross multiply
    78,821x = 175,138 × 175,138
  4. Step 4: Simplify right side
    78,821x = 30,673,319,044
  5. Step 5: Solve for x
    x = 30,673,319,044/78,821
  6. Step 6: Final answer
    x = 389,151.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.