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Finding the Third Proportional to 76,679.50 and 156,489

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Solution

The third proportional to 76,679.50 and 156,489 is: 319,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679.50 : 156,489 = 156,489 : x
  2. Step 2: Convert to fraction form
    76,679.50/156,489 = 156,489/x
  3. Step 3: Cross multiply
    76,679.50x = 156,489 × 156,489
  4. Step 4: Simplify right side
    76,679.50x = 24,488,807,121
  5. Step 5: Solve for x
    x = 24,488,807,121/76,679.50
  6. Step 6: Final answer
    x = 319,365.76

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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.