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Finding the Third Proportional to 38,700 and 90,891

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Solution

The third proportional to 38,700 and 90,891 is: 213,467.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,700 : 90,891 = 90,891 : x
  2. Step 2: Convert to fraction form
    38,700/90,891 = 90,891/x
  3. Step 3: Cross multiply
    38,700x = 90,891 × 90,891
  4. Step 4: Simplify right side
    38,700x = 8,261,173,881
  5. Step 5: Solve for x
    x = 8,261,173,881/38,700
  6. Step 6: Final answer
    x = 213,467.03

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.