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Finding the Third Proportional to 272,620 and 413,835

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Solution

The third proportional to 272,620 and 413,835 is: 628,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,620 : 413,835 = 413,835 : x
  2. Step 2: Convert to fraction form
    272,620/413,835 = 413,835/x
  3. Step 3: Cross multiply
    272,620x = 413,835 × 413,835
  4. Step 4: Simplify right side
    272,620x = 171,259,407,225
  5. Step 5: Solve for x
    x = 171,259,407,225/272,620
  6. Step 6: Final answer
    x = 628,198.25

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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.