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Finding the Third Proportional to 187,240 and 400,832

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Solution

The third proportional to 187,240 and 400,832 is: 858,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,240 : 400,832 = 400,832 : x
  2. Step 2: Convert to fraction form
    187,240/400,832 = 400,832/x
  3. Step 3: Cross multiply
    187,240x = 400,832 × 400,832
  4. Step 4: Simplify right side
    187,240x = 160,666,292,224
  5. Step 5: Solve for x
    x = 160,666,292,224/187,240
  6. Step 6: Final answer
    x = 858,076.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.