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Finding the Third Proportional to 129,762 and 280,260

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Solution

The third proportional to 129,762 and 280,260 is: 605,305.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,762 : 280,260 = 280,260 : x
  2. Step 2: Convert to fraction form
    129,762/280,260 = 280,260/x
  3. Step 3: Cross multiply
    129,762x = 280,260 × 280,260
  4. Step 4: Simplify right side
    129,762x = 78,545,667,600
  5. Step 5: Solve for x
    x = 78,545,667,600/129,762
  6. Step 6: Final answer
    x = 605,305.62

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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.