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Finding the Third Proportional to 60,285 and 90,975

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Solution

The third proportional to 60,285 and 90,975 is: 137,288.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,285 : 90,975 = 90,975 : x
  2. Step 2: Convert to fraction form
    60,285/90,975 = 90,975/x
  3. Step 3: Cross multiply
    60,285x = 90,975 × 90,975
  4. Step 4: Simplify right side
    60,285x = 8,276,450,625
  5. Step 5: Solve for x
    x = 8,276,450,625/60,285
  6. Step 6: Final answer
    x = 137,288.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.