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Finding the Third Proportional to 187,280 and 273,912

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Solution

The third proportional to 187,280 and 273,912 is: 400,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,280 : 273,912 = 273,912 : x
  2. Step 2: Convert to fraction form
    187,280/273,912 = 273,912/x
  3. Step 3: Cross multiply
    187,280x = 273,912 × 273,912
  4. Step 4: Simplify right side
    187,280x = 75,027,783,744
  5. Step 5: Solve for x
    x = 75,027,783,744/187,280
  6. Step 6: Final answer
    x = 400,618.24

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.