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Finding the Third Proportional to 21,099 and 31,611

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Solution

The third proportional to 21,099 and 31,611 is: 47,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,099 : 31,611 = 31,611 : x
  2. Step 2: Convert to fraction form
    21,099/31,611 = 31,611/x
  3. Step 3: Cross multiply
    21,099x = 31,611 × 31,611
  4. Step 4: Simplify right side
    21,099x = 999,255,321
  5. Step 5: Solve for x
    x = 999,255,321/21,099
  6. Step 6: Final answer
    x = 47,360.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.