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Finding the Third Proportional to 77,260 and 122,802

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Solution

The third proportional to 77,260 and 122,802 is: 195,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,260 : 122,802 = 122,802 : x
  2. Step 2: Convert to fraction form
    77,260/122,802 = 122,802/x
  3. Step 3: Cross multiply
    77,260x = 122,802 × 122,802
  4. Step 4: Simplify right side
    77,260x = 15,080,331,204
  5. Step 5: Solve for x
    x = 15,080,331,204/77,260
  6. Step 6: Final answer
    x = 195,189.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.