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Finding the Third Proportional to 77,405 and 158,089

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Solution

The third proportional to 77,405 and 158,089 is: 322,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,405 : 158,089 = 158,089 : x
  2. Step 2: Convert to fraction form
    77,405/158,089 = 158,089/x
  3. Step 3: Cross multiply
    77,405x = 158,089 × 158,089
  4. Step 4: Simplify right side
    77,405x = 24,992,131,921
  5. Step 5: Solve for x
    x = 24,992,131,921/77,405
  6. Step 6: Final answer
    x = 322,874.90

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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.