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Finding the Third Proportional to 15,772 and 34,210

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Solution

The third proportional to 15,772 and 34,210 is: 74,202.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,772 : 34,210 = 34,210 : x
  2. Step 2: Convert to fraction form
    15,772/34,210 = 34,210/x
  3. Step 3: Cross multiply
    15,772x = 34,210 × 34,210
  4. Step 4: Simplify right side
    15,772x = 1,170,324,100
  5. Step 5: Solve for x
    x = 1,170,324,100/15,772
  6. Step 6: Final answer
    x = 74,202.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.