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Finding the Third Proportional to 278,721 and 593,406

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Solution

The third proportional to 278,721 and 593,406 is: 1,263,380.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,721 : 593,406 = 593,406 : x
  2. Step 2: Convert to fraction form
    278,721/593,406 = 593,406/x
  3. Step 3: Cross multiply
    278,721x = 593,406 × 593,406
  4. Step 4: Simplify right side
    278,721x = 352,130,680,836
  5. Step 5: Solve for x
    x = 352,130,680,836/278,721
  6. Step 6: Final answer
    x = 1,263,380.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.