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Finding the Third Proportional to 5,211 and 10,557

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Solution

The third proportional to 5,211 and 10,557 is: 21,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211 : 10,557 = 10,557 : x
  2. Step 2: Convert to fraction form
    5,211/10,557 = 10,557/x
  3. Step 3: Cross multiply
    5,211x = 10,557 × 10,557
  4. Step 4: Simplify right side
    5,211x = 111,450,249
  5. Step 5: Solve for x
    x = 111,450,249/5,211
  6. Step 6: Final answer
    x = 21,387.50

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1.5x scale

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.