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Finding the Third Proportional to 177,910 and 278,529

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Solution

The third proportional to 177,910 and 278,529 is: 436,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,910 : 278,529 = 278,529 : x
  2. Step 2: Convert to fraction form
    177,910/278,529 = 278,529/x
  3. Step 3: Cross multiply
    177,910x = 278,529 × 278,529
  4. Step 4: Simplify right side
    177,910x = 77,578,403,841
  5. Step 5: Solve for x
    x = 77,578,403,841/177,910
  6. Step 6: Final answer
    x = 436,054.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.