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Finding the Third Proportional to 61,115 and 91,295

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Solution

The third proportional to 61,115 and 91,295 is: 136,378.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,115 : 91,295 = 91,295 : x
  2. Step 2: Convert to fraction form
    61,115/91,295 = 91,295/x
  3. Step 3: Cross multiply
    61,115x = 91,295 × 91,295
  4. Step 4: Simplify right side
    61,115x = 8,334,777,025
  5. Step 5: Solve for x
    x = 8,334,777,025/61,115
  6. Step 6: Final answer
    x = 136,378.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.