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Finding the Third Proportional to 38,740 and 57,389

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Solution

The third proportional to 38,740 and 57,389 is: 85,015.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,740 : 57,389 = 57,389 : x
  2. Step 2: Convert to fraction form
    38,740/57,389 = 57,389/x
  3. Step 3: Cross multiply
    38,740x = 57,389 × 57,389
  4. Step 4: Simplify right side
    38,740x = 3,293,497,321
  5. Step 5: Solve for x
    x = 3,293,497,321/38,740
  6. Step 6: Final answer
    x = 85,015.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.