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Finding the Third Proportional to 279,487 and 603,238

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Solution

The third proportional to 279,487 and 603,238 is: 1,302,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,487 : 603,238 = 603,238 : x
  2. Step 2: Convert to fraction form
    279,487/603,238 = 603,238/x
  3. Step 3: Cross multiply
    279,487x = 603,238 × 603,238
  4. Step 4: Simplify right side
    279,487x = 363,896,084,644
  5. Step 5: Solve for x
    x = 363,896,084,644/279,487
  6. Step 6: Final answer
    x = 1,302,014.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.