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Finding the Third Proportional to 129,520 and 280,544

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Solution

The third proportional to 129,520 and 280,544 is: 607,666.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,520 : 280,544 = 280,544 : x
  2. Step 2: Convert to fraction form
    129,520/280,544 = 280,544/x
  3. Step 3: Cross multiply
    129,520x = 280,544 × 280,544
  4. Step 4: Simplify right side
    129,520x = 78,704,935,936
  5. Step 5: Solve for x
    x = 78,704,935,936/129,520
  6. Step 6: Final answer
    x = 607,666.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.