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Finding the Third Proportional to 5,211 and 7,619.06

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Solution

The third proportional to 5,211 and 7,619.06 is: 11,139.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211 : 7,619.06 = 7,619.06 : x
  2. Step 2: Convert to fraction form
    5,211/7,619.06 = 7,619.06/x
  3. Step 3: Cross multiply
    5,211x = 7,619.06 × 7,619.06
  4. Step 4: Simplify right side
    5,211x = 58,050,113.38
  5. Step 5: Solve for x
    x = 58,050,113.38/5,211
  6. Step 6: Final answer
    x = 11,139.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.