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Finding the Third Proportional to 272,620.50 and 413,836.50

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Solution

The third proportional to 272,620.50 and 413,836.50 is: 628,201.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,620.50 : 413,836.50 = 413,836.50 : x
  2. Step 2: Convert to fraction form
    272,620.50/413,836.50 = 413,836.50/x
  3. Step 3: Cross multiply
    272,620.50x = 413,836.50 × 413,836.50
  4. Step 4: Simplify right side
    272,620.50x = 171,260,648,732.25
  5. Step 5: Solve for x
    x = 171,260,648,732.25/272,620.50
  6. Step 6: Final answer
    x = 628,201.65

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.