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Finding the Third Proportional to 59,920 and 90,975

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Solution

The third proportional to 59,920 and 90,975 is: 138,125.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,920 : 90,975 = 90,975 : x
  2. Step 2: Convert to fraction form
    59,920/90,975 = 90,975/x
  3. Step 3: Cross multiply
    59,920x = 90,975 × 90,975
  4. Step 4: Simplify right side
    59,920x = 8,276,450,625
  5. Step 5: Solve for x
    x = 8,276,450,625/59,920
  6. Step 6: Final answer
    x = 138,125.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.