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Finding the Third Proportional to 61,890 and 90,189

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Solution

The third proportional to 61,890 and 90,189 is: 131,427.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,890 : 90,189 = 90,189 : x
  2. Step 2: Convert to fraction form
    61,890/90,189 = 90,189/x
  3. Step 3: Cross multiply
    61,890x = 90,189 × 90,189
  4. Step 4: Simplify right side
    61,890x = 8,134,055,721
  5. Step 5: Solve for x
    x = 8,134,055,721/61,890
  6. Step 6: Final answer
    x = 131,427.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.