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Finding the Third Proportional to 272,021.06 and 408,715.31

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Solution

The third proportional to 272,021.06 and 408,715.31 is: 614,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,021.06 : 408,715.31 = 408,715.31 : x
  2. Step 2: Convert to fraction form
    272,021.06/408,715.31 = 408,715.31/x
  3. Step 3: Cross multiply
    272,021.06x = 408,715.31 × 408,715.31
  4. Step 4: Simplify right side
    272,021.06x = 167,048,206,671.97
  5. Step 5: Solve for x
    x = 167,048,206,671.97/272,021.06
  6. Step 6: Final answer
    x = 614,100.27

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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.