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Finding the Third Proportional to 187,011 and 280,444

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Solution

The third proportional to 187,011 and 280,444 is: 420,557.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,011 : 280,444 = 280,444 : x
  2. Step 2: Convert to fraction form
    187,011/280,444 = 280,444/x
  3. Step 3: Cross multiply
    187,011x = 280,444 × 280,444
  4. Step 4: Simplify right side
    187,011x = 78,648,837,136
  5. Step 5: Solve for x
    x = 78,648,837,136/187,011
  6. Step 6: Final answer
    x = 420,557.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.