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Finding the Third Proportional to 85,438 and 197,791

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Solution

The third proportional to 85,438 and 197,791 is: 457,890.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,438 : 197,791 = 197,791 : x
  2. Step 2: Convert to fraction form
    85,438/197,791 = 197,791/x
  3. Step 3: Cross multiply
    85,438x = 197,791 × 197,791
  4. Step 4: Simplify right side
    85,438x = 39,121,279,681
  5. Step 5: Solve for x
    x = 39,121,279,681/85,438
  6. Step 6: Final answer
    x = 457,890.86

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.