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Finding the Third Proportional to 21,012.75 and 31,677.75

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Solution

The third proportional to 21,012.75 and 31,677.75 is: 47,755.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,012.75 : 31,677.75 = 31,677.75 : x
  2. Step 2: Convert to fraction form
    21,012.75/31,677.75 = 31,677.75/x
  3. Step 3: Cross multiply
    21,012.75x = 31,677.75 × 31,677.75
  4. Step 4: Simplify right side
    21,012.75x = 1,003,479,845.06
  5. Step 5: Solve for x
    x = 1,003,479,845.06/21,012.75
  6. Step 6: Final answer
    x = 47,755.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.