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Finding the Third Proportional to 146,439 and 219,645

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Solution

The third proportional to 146,439 and 219,645 is: 329,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,439 : 219,645 = 219,645 : x
  2. Step 2: Convert to fraction form
    146,439/219,645 = 219,645/x
  3. Step 3: Cross multiply
    146,439x = 219,645 × 219,645
  4. Step 4: Simplify right side
    146,439x = 48,243,926,025
  5. Step 5: Solve for x
    x = 48,243,926,025/146,439
  6. Step 6: Final answer
    x = 329,447.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.