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Finding the Third Proportional to 21,351.73 and 31,204.62

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Solution

The third proportional to 21,351.73 and 31,204.62 is: 45,604.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,351.73 : 31,204.62 = 31,204.62 : x
  2. Step 2: Convert to fraction form
    21,351.73/31,204.62 = 31,204.62/x
  3. Step 3: Cross multiply
    21,351.73x = 31,204.62 × 31,204.62
  4. Step 4: Simplify right side
    21,351.73x = 973,728,133.82
  5. Step 5: Solve for x
    x = 973,728,133.82/21,351.73
  6. Step 6: Final answer
    x = 45,604.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.