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Finding the Third Proportional to 187,525 and 281,307

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Solution

The third proportional to 187,525 and 281,307 is: 421,989.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,525 : 281,307 = 281,307 : x
  2. Step 2: Convert to fraction form
    187,525/281,307 = 281,307/x
  3. Step 3: Cross multiply
    187,525x = 281,307 × 281,307
  4. Step 4: Simplify right side
    187,525x = 79,133,628,249
  5. Step 5: Solve for x
    x = 79,133,628,249/187,525
  6. Step 6: Final answer
    x = 421,989.75

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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.