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Finding the Third Proportional to 77,578 and 158,420

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Solution

The third proportional to 77,578 and 158,420 is: 323,505.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,578 : 158,420 = 158,420 : x
  2. Step 2: Convert to fraction form
    77,578/158,420 = 158,420/x
  3. Step 3: Cross multiply
    77,578x = 158,420 × 158,420
  4. Step 4: Simplify right side
    77,578x = 25,096,896,400
  5. Step 5: Solve for x
    x = 25,096,896,400/77,578
  6. Step 6: Final answer
    x = 323,505.33

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.