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Finding the Third Proportional to 15,678 and 31,761

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Solution

The third proportional to 15,678 and 31,761 is: 64,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 31,761 = 31,761 : x
  2. Step 2: Convert to fraction form
    15,678/31,761 = 31,761/x
  3. Step 3: Cross multiply
    15,678x = 31,761 × 31,761
  4. Step 4: Simplify right side
    15,678x = 1,008,761,121
  5. Step 5: Solve for x
    x = 1,008,761,121/15,678
  6. Step 6: Final answer
    x = 64,342.46

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.