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Finding the Third Proportional to 187,515 and 404,351

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Solution

The third proportional to 187,515 and 404,351 is: 871,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,515 : 404,351 = 404,351 : x
  2. Step 2: Convert to fraction form
    187,515/404,351 = 404,351/x
  3. Step 3: Cross multiply
    187,515x = 404,351 × 404,351
  4. Step 4: Simplify right side
    187,515x = 163,499,731,201
  5. Step 5: Solve for x
    x = 163,499,731,201/187,515
  6. Step 6: Final answer
    x = 871,928.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.