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Finding the Third Proportional to 190,641 and 397,072

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Solution

The third proportional to 190,641 and 397,072 is: 827,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,641 : 397,072 = 397,072 : x
  2. Step 2: Convert to fraction form
    190,641/397,072 = 397,072/x
  3. Step 3: Cross multiply
    190,641x = 397,072 × 397,072
  4. Step 4: Simplify right side
    190,641x = 157,666,173,184
  5. Step 5: Solve for x
    x = 157,666,173,184/190,641
  6. Step 6: Final answer
    x = 827,031.82

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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.