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Finding the Third Proportional to 21,748 and 47,644

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Solution

The third proportional to 21,748 and 47,644 is: 104,375.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,748 : 47,644 = 47,644 : x
  2. Step 2: Convert to fraction form
    21,748/47,644 = 47,644/x
  3. Step 3: Cross multiply
    21,748x = 47,644 × 47,644
  4. Step 4: Simplify right side
    21,748x = 2,269,950,736
  5. Step 5: Solve for x
    x = 2,269,950,736/21,748
  6. Step 6: Final answer
    x = 104,375.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.