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Finding the Third Proportional to 77,923 and 169,130

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Solution

The third proportional to 77,923 and 169,130 is: 367,092.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,923 : 169,130 = 169,130 : x
  2. Step 2: Convert to fraction form
    77,923/169,130 = 169,130/x
  3. Step 3: Cross multiply
    77,923x = 169,130 × 169,130
  4. Step 4: Simplify right side
    77,923x = 28,604,956,900
  5. Step 5: Solve for x
    x = 28,604,956,900/77,923
  6. Step 6: Final answer
    x = 367,092.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.