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Finding the Third Proportional to 47,788 and 75,920

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Solution

The third proportional to 47,788 and 75,920 is: 120,612.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,788 : 75,920 = 75,920 : x
  2. Step 2: Convert to fraction form
    47,788/75,920 = 75,920/x
  3. Step 3: Cross multiply
    47,788x = 75,920 × 75,920
  4. Step 4: Simplify right side
    47,788x = 5,763,846,400
  5. Step 5: Solve for x
    x = 5,763,846,400/47,788
  6. Step 6: Final answer
    x = 120,612.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.