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Finding the Third Proportional to 138,639.50 and 283,834.50

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Solution

The third proportional to 138,639.50 and 283,834.50 is: 581,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,639.50 : 283,834.50 = 283,834.50 : x
  2. Step 2: Convert to fraction form
    138,639.50/283,834.50 = 283,834.50/x
  3. Step 3: Cross multiply
    138,639.50x = 283,834.50 × 283,834.50
  4. Step 4: Simplify right side
    138,639.50x = 80,562,023,390.25
  5. Step 5: Solve for x
    x = 80,562,023,390.25/138,639.50
  6. Step 6: Final answer
    x = 581,089.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.