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Finding the Third Proportional to 272,337 and 419,991

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Solution

The third proportional to 272,337 and 419,991 is: 647,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,337 : 419,991 = 419,991 : x
  2. Step 2: Convert to fraction form
    272,337/419,991 = 419,991/x
  3. Step 3: Cross multiply
    272,337x = 419,991 × 419,991
  4. Step 4: Simplify right side
    272,337x = 176,392,440,081
  5. Step 5: Solve for x
    x = 176,392,440,081/272,337
  6. Step 6: Final answer
    x = 647,699.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.