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Finding the Third Proportional to 272,816.72 and 412,999.03

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Solution

The third proportional to 272,816.72 and 412,999.03 is: 625,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,816.72 : 412,999.03 = 412,999.03 : x
  2. Step 2: Convert to fraction form
    272,816.72/412,999.03 = 412,999.03/x
  3. Step 3: Cross multiply
    272,816.72x = 412,999.03 × 412,999.03
  4. Step 4: Simplify right side
    272,816.72x = 170,568,199,813.44
  5. Step 5: Solve for x
    x = 170,568,199,813.44/272,816.72
  6. Step 6: Final answer
    x = 625,211.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.