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Finding the Third Proportional to 129,910 and 280,544

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Solution

The third proportional to 129,910 and 280,544 is: 605,842.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,910 : 280,544 = 280,544 : x
  2. Step 2: Convert to fraction form
    129,910/280,544 = 280,544/x
  3. Step 3: Cross multiply
    129,910x = 280,544 × 280,544
  4. Step 4: Simplify right side
    129,910x = 78,704,935,936
  5. Step 5: Solve for x
    x = 78,704,935,936/129,910
  6. Step 6: Final answer
    x = 605,842.01

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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.