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Finding the Third Proportional to 272,281.50 and 408,285.56

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Solution

The third proportional to 272,281.50 and 408,285.56 is: 612,223.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,281.50 : 408,285.56 = 408,285.56 : x
  2. Step 2: Convert to fraction form
    272,281.50/408,285.56 = 408,285.56/x
  3. Step 3: Cross multiply
    272,281.50x = 408,285.56 × 408,285.56
  4. Step 4: Simplify right side
    272,281.50x = 166,697,100,545.94
  5. Step 5: Solve for x
    x = 166,697,100,545.94/272,281.50
  6. Step 6: Final answer
    x = 612,223.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.