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Finding the Third Proportional to 279,552 and 372,447

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Solution

The third proportional to 279,552 and 372,447 is: 496,210.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,552 : 372,447 = 372,447 : x
  2. Step 2: Convert to fraction form
    279,552/372,447 = 372,447/x
  3. Step 3: Cross multiply
    279,552x = 372,447 × 372,447
  4. Step 4: Simplify right side
    279,552x = 138,716,767,809
  5. Step 5: Solve for x
    x = 138,716,767,809/279,552
  6. Step 6: Final answer
    x = 496,210.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.