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Finding the Third Proportional to 131,011 and 280,715

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Solution

The third proportional to 131,011 and 280,715 is: 601,483.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,011 : 280,715 = 280,715 : x
  2. Step 2: Convert to fraction form
    131,011/280,715 = 280,715/x
  3. Step 3: Cross multiply
    131,011x = 280,715 × 280,715
  4. Step 4: Simplify right side
    131,011x = 78,800,911,225
  5. Step 5: Solve for x
    x = 78,800,911,225/131,011
  6. Step 6: Final answer
    x = 601,483.17

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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.