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Finding the Third Proportional to 131,009 and 280,711

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Solution

The third proportional to 131,009 and 280,711 is: 601,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,009 : 280,711 = 280,711 : x
  2. Step 2: Convert to fraction form
    131,009/280,711 = 280,711/x
  3. Step 3: Cross multiply
    131,009x = 280,711 × 280,711
  4. Step 4: Simplify right side
    131,009x = 78,798,665,521
  5. Step 5: Solve for x
    x = 78,798,665,521/131,009
  6. Step 6: Final answer
    x = 601,475.21

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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.