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Finding the Third Proportional to 71,781 and 149,464.50

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Solution

The third proportional to 71,781 and 149,464.50 is: 311,219.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,781 : 149,464.50 = 149,464.50 : x
  2. Step 2: Convert to fraction form
    71,781/149,464.50 = 149,464.50/x
  3. Step 3: Cross multiply
    71,781x = 149,464.50 × 149,464.50
  4. Step 4: Simplify right side
    71,781x = 22,339,636,760.25
  5. Step 5: Solve for x
    x = 22,339,636,760.25/71,781
  6. Step 6: Final answer
    x = 311,219.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.