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Finding the Third Proportional to 77,622 and 169,356

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Solution

The third proportional to 77,622 and 169,356 is: 369,501.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,622 : 169,356 = 169,356 : x
  2. Step 2: Convert to fraction form
    77,622/169,356 = 169,356/x
  3. Step 3: Cross multiply
    77,622x = 169,356 × 169,356
  4. Step 4: Simplify right side
    77,622x = 28,681,454,736
  5. Step 5: Solve for x
    x = 28,681,454,736/77,622
  6. Step 6: Final answer
    x = 369,501.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.