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Finding the Third Proportional to 21,590 and 29,169

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Solution

The third proportional to 21,590 and 29,169 is: 39,408.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,590 : 29,169 = 29,169 : x
  2. Step 2: Convert to fraction form
    21,590/29,169 = 29,169/x
  3. Step 3: Cross multiply
    21,590x = 29,169 × 29,169
  4. Step 4: Simplify right side
    21,590x = 850,830,561
  5. Step 5: Solve for x
    x = 850,830,561/21,590
  6. Step 6: Final answer
    x = 39,408.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.