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Finding the Third Proportional to 190,642 and 397,073

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Solution

The third proportional to 190,642 and 397,073 is: 827,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,642 : 397,073 = 397,073 : x
  2. Step 2: Convert to fraction form
    190,642/397,073 = 397,073/x
  3. Step 3: Cross multiply
    190,642x = 397,073 × 397,073
  4. Step 4: Simplify right side
    190,642x = 157,666,967,329
  5. Step 5: Solve for x
    x = 157,666,967,329/190,642
  6. Step 6: Final answer
    x = 827,031.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.