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Finding the Third Proportional to 77,560 and 160,880

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Solution

The third proportional to 77,560 and 160,880 is: 333,707.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,560 : 160,880 = 160,880 : x
  2. Step 2: Convert to fraction form
    77,560/160,880 = 160,880/x
  3. Step 3: Cross multiply
    77,560x = 160,880 × 160,880
  4. Step 4: Simplify right side
    77,560x = 25,882,374,400
  5. Step 5: Solve for x
    x = 25,882,374,400/77,560
  6. Step 6: Final answer
    x = 333,707.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.