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Finding the Third Proportional to 190,902 and 431,307

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Solution

The third proportional to 190,902 and 431,307 is: 974,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,902 : 431,307 = 431,307 : x
  2. Step 2: Convert to fraction form
    190,902/431,307 = 431,307/x
  3. Step 3: Cross multiply
    190,902x = 431,307 × 431,307
  4. Step 4: Simplify right side
    190,902x = 186,025,728,249
  5. Step 5: Solve for x
    x = 186,025,728,249/190,902
  6. Step 6: Final answer
    x = 974,456.68

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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.