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Finding the Third Proportional to 15,405 and 22,881

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Solution

The third proportional to 15,405 and 22,881 is: 33,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,405 : 22,881 = 22,881 : x
  2. Step 2: Convert to fraction form
    15,405/22,881 = 22,881/x
  3. Step 3: Cross multiply
    15,405x = 22,881 × 22,881
  4. Step 4: Simplify right side
    15,405x = 523,540,161
  5. Step 5: Solve for x
    x = 523,540,161/15,405
  6. Step 6: Final answer
    x = 33,985.08

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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.