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Finding the Third Proportional to 187,360 and 405,760

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Solution

The third proportional to 187,360 and 405,760 is: 878,742.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,360 : 405,760 = 405,760 : x
  2. Step 2: Convert to fraction form
    187,360/405,760 = 405,760/x
  3. Step 3: Cross multiply
    187,360x = 405,760 × 405,760
  4. Step 4: Simplify right side
    187,360x = 164,641,177,600
  5. Step 5: Solve for x
    x = 164,641,177,600/187,360
  6. Step 6: Final answer
    x = 878,742.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.