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Finding the Third Proportional to 77,600 and 168,640

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Solution

The third proportional to 77,600 and 168,640 is: 366,487.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,600 : 168,640 = 168,640 : x
  2. Step 2: Convert to fraction form
    77,600/168,640 = 168,640/x
  3. Step 3: Cross multiply
    77,600x = 168,640 × 168,640
  4. Step 4: Simplify right side
    77,600x = 28,439,449,600
  5. Step 5: Solve for x
    x = 28,439,449,600/77,600
  6. Step 6: Final answer
    x = 366,487.75

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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.