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Finding the Third Proportional to 187,411 and 289,874

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Solution

The third proportional to 187,411 and 289,874 is: 448,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,411 : 289,874 = 289,874 : x
  2. Step 2: Convert to fraction form
    187,411/289,874 = 289,874/x
  3. Step 3: Cross multiply
    187,411x = 289,874 × 289,874
  4. Step 4: Simplify right side
    187,411x = 84,026,935,876
  5. Step 5: Solve for x
    x = 84,026,935,876/187,411
  6. Step 6: Final answer
    x = 448,356.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.