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Finding the Third Proportional to 10,418 and 23,450

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Solution

The third proportional to 10,418 and 23,450 is: 52,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418 : 23,450 = 23,450 : x
  2. Step 2: Convert to fraction form
    10,418/23,450 = 23,450/x
  3. Step 3: Cross multiply
    10,418x = 23,450 × 23,450
  4. Step 4: Simplify right side
    10,418x = 549,902,500
  5. Step 5: Solve for x
    x = 549,902,500/10,418
  6. Step 6: Final answer
    x = 52,783.88

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.