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Finding the Third Proportional to 25,740 and 38,678

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Solution

The third proportional to 25,740 and 38,678 is: 58,119.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,740 : 38,678 = 38,678 : x
  2. Step 2: Convert to fraction form
    25,740/38,678 = 38,678/x
  3. Step 3: Cross multiply
    25,740x = 38,678 × 38,678
  4. Step 4: Simplify right side
    25,740x = 1,495,987,684
  5. Step 5: Solve for x
    x = 1,495,987,684/25,740
  6. Step 6: Final answer
    x = 58,119.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.