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Finding the Third Proportional to 15,678 and 34,211

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Solution

The third proportional to 15,678 and 34,211 is: 74,651.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,678 : 34,211 = 34,211 : x
  2. Step 2: Convert to fraction form
    15,678/34,211 = 34,211/x
  3. Step 3: Cross multiply
    15,678x = 34,211 × 34,211
  4. Step 4: Simplify right side
    15,678x = 1,170,392,521
  5. Step 5: Solve for x
    x = 1,170,392,521/15,678
  6. Step 6: Final answer
    x = 74,651.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.