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Finding the Third Proportional to 66,880 and 157,870

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Solution

The third proportional to 66,880 and 157,870 is: 372,651.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,880 : 157,870 = 157,870 : x
  2. Step 2: Convert to fraction form
    66,880/157,870 = 157,870/x
  3. Step 3: Cross multiply
    66,880x = 157,870 × 157,870
  4. Step 4: Simplify right side
    66,880x = 24,922,936,900
  5. Step 5: Solve for x
    x = 24,922,936,900/66,880
  6. Step 6: Final answer
    x = 372,651.57

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.