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Finding the Third Proportional to 162,229.50 and 355,000.50

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Solution

The third proportional to 162,229.50 and 355,000.50 is: 776,833.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,229.50 : 355,000.50 = 355,000.50 : x
  2. Step 2: Convert to fraction form
    162,229.50/355,000.50 = 355,000.50/x
  3. Step 3: Cross multiply
    162,229.50x = 355,000.50 × 355,000.50
  4. Step 4: Simplify right side
    162,229.50x = 126,025,355,000.25
  5. Step 5: Solve for x
    x = 126,025,355,000.25/162,229.50
  6. Step 6: Final answer
    x = 776,833.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.