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Finding the Third Proportional to 77,814 and 151,740

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Solution

The third proportional to 77,814 and 151,740 is: 295,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,814 : 151,740 = 151,740 : x
  2. Step 2: Convert to fraction form
    77,814/151,740 = 151,740/x
  3. Step 3: Cross multiply
    77,814x = 151,740 × 151,740
  4. Step 4: Simplify right side
    77,814x = 23,025,027,600
  5. Step 5: Solve for x
    x = 23,025,027,600/77,814
  6. Step 6: Final answer
    x = 295,898.27

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.