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Finding the Third Proportional to 21,845 and 47,389

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Solution

The third proportional to 21,845 and 47,389 is: 102,802.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,845 : 47,389 = 47,389 : x
  2. Step 2: Convert to fraction form
    21,845/47,389 = 47,389/x
  3. Step 3: Cross multiply
    21,845x = 47,389 × 47,389
  4. Step 4: Simplify right side
    21,845x = 2,245,717,321
  5. Step 5: Solve for x
    x = 2,245,717,321/21,845
  6. Step 6: Final answer
    x = 102,802.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.