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Finding the Third Proportional to 131,070 and 280,815

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Solution

The third proportional to 131,070 and 280,815 is: 601,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,070 : 280,815 = 280,815 : x
  2. Step 2: Convert to fraction form
    131,070/280,815 = 280,815/x
  3. Step 3: Cross multiply
    131,070x = 280,815 × 280,815
  4. Step 4: Simplify right side
    131,070x = 78,857,064,225
  5. Step 5: Solve for x
    x = 78,857,064,225/131,070
  6. Step 6: Final answer
    x = 601,640.83

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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.