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Finding the Third Proportional to 10,305 and 15,381

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Solution

The third proportional to 10,305 and 15,381 is: 22,957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 15,381 = 15,381 : x
  2. Step 2: Convert to fraction form
    10,305/15,381 = 15,381/x
  3. Step 3: Cross multiply
    10,305x = 15,381 × 15,381
  4. Step 4: Simplify right side
    10,305x = 236,575,161
  5. Step 5: Solve for x
    x = 236,575,161/10,305
  6. Step 6: Final answer
    x = 22,957.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.