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Finding the Third Proportional to 190,910 and 431,324

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Solution

The third proportional to 190,910 and 431,324 is: 974,492.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,910 : 431,324 = 431,324 : x
  2. Step 2: Convert to fraction form
    190,910/431,324 = 431,324/x
  3. Step 3: Cross multiply
    190,910x = 431,324 × 431,324
  4. Step 4: Simplify right side
    190,910x = 186,040,392,976
  5. Step 5: Solve for x
    x = 186,040,392,976/190,910
  6. Step 6: Final answer
    x = 974,492.66

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.