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Finding the Third Proportional to 228,912.75 and 354,871.13

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Solution

The third proportional to 228,912.75 and 354,871.13 is: 550,137.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,912.75 : 354,871.13 = 354,871.13 : x
  2. Step 2: Convert to fraction form
    228,912.75/354,871.13 = 354,871.13/x
  3. Step 3: Cross multiply
    228,912.75x = 354,871.13 × 354,871.13
  4. Step 4: Simplify right side
    228,912.75x = 125,933,515,358.77
  5. Step 5: Solve for x
    x = 125,933,515,358.77/228,912.75
  6. Step 6: Final answer
    x = 550,137.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.