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Finding the Third Proportional to 131,251 and 280,495

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Solution

The third proportional to 131,251 and 280,495 is: 599,442.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,251 : 280,495 = 280,495 : x
  2. Step 2: Convert to fraction form
    131,251/280,495 = 280,495/x
  3. Step 3: Cross multiply
    131,251x = 280,495 × 280,495
  4. Step 4: Simplify right side
    131,251x = 78,677,445,025
  5. Step 5: Solve for x
    x = 78,677,445,025/131,251
  6. Step 6: Final answer
    x = 599,442.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.