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Finding the Third Proportional to 231,634.05 and 345,426.40

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Solution

The third proportional to 231,634.05 and 345,426.40 is: 515,120.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,634.05 : 345,426.40 = 345,426.40 : x
  2. Step 2: Convert to fraction form
    231,634.05/345,426.40 = 345,426.40/x
  3. Step 3: Cross multiply
    231,634.05x = 345,426.40 × 345,426.40
  4. Step 4: Simplify right side
    231,634.05x = 119,319,396,737.50
  5. Step 5: Solve for x
    x = 119,319,396,737.50/231,634.05
  6. Step 6: Final answer
    x = 515,120.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.