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Finding the Third Proportional to 21,014 and 34,399

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Solution

The third proportional to 21,014 and 34,399 is: 56,309.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,014 : 34,399 = 34,399 : x
  2. Step 2: Convert to fraction form
    21,014/34,399 = 34,399/x
  3. Step 3: Cross multiply
    21,014x = 34,399 × 34,399
  4. Step 4: Simplify right side
    21,014x = 1,183,291,201
  5. Step 5: Solve for x
    x = 1,183,291,201/21,014
  6. Step 6: Final answer
    x = 56,309.66

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.