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Finding the Third Proportional to 77,998 and 169,172

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Solution

The third proportional to 77,998 and 169,172 is: 366,921.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998 : 169,172 = 169,172 : x
  2. Step 2: Convert to fraction form
    77,998/169,172 = 169,172/x
  3. Step 3: Cross multiply
    77,998x = 169,172 × 169,172
  4. Step 4: Simplify right side
    77,998x = 28,619,165,584
  5. Step 5: Solve for x
    x = 28,619,165,584/77,998
  6. Step 6: Final answer
    x = 366,921.79

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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.