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Finding the Third Proportional to 61,203 and 91,519

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Solution

The third proportional to 61,203 and 91,519 is: 136,851.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,203 : 91,519 = 91,519 : x
  2. Step 2: Convert to fraction form
    61,203/91,519 = 91,519/x
  3. Step 3: Cross multiply
    61,203x = 91,519 × 91,519
  4. Step 4: Simplify right side
    61,203x = 8,375,727,361
  5. Step 5: Solve for x
    x = 8,375,727,361/61,203
  6. Step 6: Final answer
    x = 136,851.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.