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Finding the Third Proportional to 38,672 and 90,740

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Solution

The third proportional to 38,672 and 90,740 is: 212,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,672 : 90,740 = 90,740 : x
  2. Step 2: Convert to fraction form
    38,672/90,740 = 90,740/x
  3. Step 3: Cross multiply
    38,672x = 90,740 × 90,740
  4. Step 4: Simplify right side
    38,672x = 8,233,747,600
  5. Step 5: Solve for x
    x = 8,233,747,600/38,672
  6. Step 6: Final answer
    x = 212,912.38

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.