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Finding the Third Proportional to 56,920 and 87,946

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Solution

The third proportional to 56,920 and 87,946 is: 135,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,920 : 87,946 = 87,946 : x
  2. Step 2: Convert to fraction form
    56,920/87,946 = 87,946/x
  3. Step 3: Cross multiply
    56,920x = 87,946 × 87,946
  4. Step 4: Simplify right side
    56,920x = 7,734,498,916
  5. Step 5: Solve for x
    x = 7,734,498,916/56,920
  6. Step 6: Final answer
    x = 135,883.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.