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Finding the Third Proportional to 21,369 and 35,599

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Solution

The third proportional to 21,369 and 35,599 is: 59,305.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,369 : 35,599 = 35,599 : x
  2. Step 2: Convert to fraction form
    21,369/35,599 = 35,599/x
  3. Step 3: Cross multiply
    21,369x = 35,599 × 35,599
  4. Step 4: Simplify right side
    21,369x = 1,267,288,801
  5. Step 5: Solve for x
    x = 1,267,288,801/21,369
  6. Step 6: Final answer
    x = 59,305.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.