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Finding the Third Proportional to 15,381 and 21,994.31

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Solution

The third proportional to 15,381 and 21,994.31 is: 31,451.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,381 : 21,994.31 = 21,994.31 : x
  2. Step 2: Convert to fraction form
    15,381/21,994.31 = 21,994.31/x
  3. Step 3: Cross multiply
    15,381x = 21,994.31 × 21,994.31
  4. Step 4: Simplify right side
    15,381x = 483,749,782.35
  5. Step 5: Solve for x
    x = 483,749,782.35/15,381
  6. Step 6: Final answer
    x = 31,451.13

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.