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Finding the Third Proportional to 76,434.75 and 156,269.25

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Solution

The third proportional to 76,434.75 and 156,269.25 is: 319,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,434.75 : 156,269.25 = 156,269.25 : x
  2. Step 2: Convert to fraction form
    76,434.75/156,269.25 = 156,269.25/x
  3. Step 3: Cross multiply
    76,434.75x = 156,269.25 × 156,269.25
  4. Step 4: Simplify right side
    76,434.75x = 24,420,078,495.56
  5. Step 5: Solve for x
    x = 24,420,078,495.56/76,434.75
  6. Step 6: Final answer
    x = 319,489.22

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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.