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Finding the Third Proportional to 76,400 and 180,644

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Solution

The third proportional to 76,400 and 180,644 is: 427,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400 : 180,644 = 180,644 : x
  2. Step 2: Convert to fraction form
    76,400/180,644 = 180,644/x
  3. Step 3: Cross multiply
    76,400x = 180,644 × 180,644
  4. Step 4: Simplify right side
    76,400x = 32,632,254,736
  5. Step 5: Solve for x
    x = 32,632,254,736/76,400
  6. Step 6: Final answer
    x = 427,123.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.