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Finding the Third Proportional to 187,712 and 280,608

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Solution

The third proportional to 187,712 and 280,608 is: 419,476.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,712 : 280,608 = 280,608 : x
  2. Step 2: Convert to fraction form
    187,712/280,608 = 280,608/x
  3. Step 3: Cross multiply
    187,712x = 280,608 × 280,608
  4. Step 4: Simplify right side
    187,712x = 78,740,849,664
  5. Step 5: Solve for x
    x = 78,740,849,664/187,712
  6. Step 6: Final answer
    x = 419,476.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.