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Finding the Third Proportional to 279,737 and 421,928

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Solution

The third proportional to 279,737 and 421,928 is: 636,395.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,737 : 421,928 = 421,928 : x
  2. Step 2: Convert to fraction form
    279,737/421,928 = 421,928/x
  3. Step 3: Cross multiply
    279,737x = 421,928 × 421,928
  4. Step 4: Simplify right side
    279,737x = 178,023,237,184
  5. Step 5: Solve for x
    x = 178,023,237,184/279,737
  6. Step 6: Final answer
    x = 636,395.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.