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Finding the Third Proportional to 21,599 and 35,269

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Solution

The third proportional to 21,599 and 35,269 is: 57,590.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,599 : 35,269 = 35,269 : x
  2. Step 2: Convert to fraction form
    21,599/35,269 = 35,269/x
  3. Step 3: Cross multiply
    21,599x = 35,269 × 35,269
  4. Step 4: Simplify right side
    21,599x = 1,243,902,361
  5. Step 5: Solve for x
    x = 1,243,902,361/21,599
  6. Step 6: Final answer
    x = 57,590.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.