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Finding the Third Proportional to 21,799 and 47,209

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Solution

The third proportional to 21,799 and 47,209 is: 102,238.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,799 : 47,209 = 47,209 : x
  2. Step 2: Convert to fraction form
    21,799/47,209 = 47,209/x
  3. Step 3: Cross multiply
    21,799x = 47,209 × 47,209
  4. Step 4: Simplify right side
    21,799x = 2,228,689,681
  5. Step 5: Solve for x
    x = 2,228,689,681/21,799
  6. Step 6: Final answer
    x = 102,238.16

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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.