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Finding the Third Proportional to 85,485 and 197,882

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Solution

The third proportional to 85,485 and 197,882 is: 458,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,485 : 197,882 = 197,882 : x
  2. Step 2: Convert to fraction form
    85,485/197,882 = 197,882/x
  3. Step 3: Cross multiply
    85,485x = 197,882 × 197,882
  4. Step 4: Simplify right side
    85,485x = 39,157,285,924
  5. Step 5: Solve for x
    x = 39,157,285,924/85,485
  6. Step 6: Final answer
    x = 458,060.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.