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Finding the Third Proportional to 272,878 and 418,847

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Solution

The third proportional to 272,878 and 418,847 is: 642,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,878 : 418,847 = 418,847 : x
  2. Step 2: Convert to fraction form
    272,878/418,847 = 418,847/x
  3. Step 3: Cross multiply
    272,878x = 418,847 × 418,847
  4. Step 4: Simplify right side
    272,878x = 175,432,809,409
  5. Step 5: Solve for x
    x = 175,432,809,409/272,878
  6. Step 6: Final answer
    x = 642,898.33

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.