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Finding the Third Proportional to 187,112 and 399,982

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Solution

The third proportional to 187,112 and 399,982 is: 855,025.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,112 : 399,982 = 399,982 : x
  2. Step 2: Convert to fraction form
    187,112/399,982 = 399,982/x
  3. Step 3: Cross multiply
    187,112x = 399,982 × 399,982
  4. Step 4: Simplify right side
    187,112x = 159,985,600,324
  5. Step 5: Solve for x
    x = 159,985,600,324/187,112
  6. Step 6: Final answer
    x = 855,025.87

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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.