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Finding the Third Proportional to 21,314 and 39,962

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Solution

The third proportional to 21,314 and 39,962 is: 74,925.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,314 : 39,962 = 39,962 : x
  2. Step 2: Convert to fraction form
    21,314/39,962 = 39,962/x
  3. Step 3: Cross multiply
    21,314x = 39,962 × 39,962
  4. Step 4: Simplify right side
    21,314x = 1,596,961,444
  5. Step 5: Solve for x
    x = 1,596,961,444/21,314
  6. Step 6: Final answer
    x = 74,925.47

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.