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Finding the Third Proportional to 91,890 and 197,858

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Solution

The third proportional to 91,890 and 197,858 is: 426,028.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,890 : 197,858 = 197,858 : x
  2. Step 2: Convert to fraction form
    91,890/197,858 = 197,858/x
  3. Step 3: Cross multiply
    91,890x = 197,858 × 197,858
  4. Step 4: Simplify right side
    91,890x = 39,147,788,164
  5. Step 5: Solve for x
    x = 39,147,788,164/91,890
  6. Step 6: Final answer
    x = 426,028.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.