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Finding the Third Proportional to 7,207 and 11,111

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Solution

The third proportional to 7,207 and 11,111 is: 17,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,207 : 11,111 = 11,111 : x
  2. Step 2: Convert to fraction form
    7,207/11,111 = 11,111/x
  3. Step 3: Cross multiply
    7,207x = 11,111 × 11,111
  4. Step 4: Simplify right side
    7,207x = 123,454,321
  5. Step 5: Solve for x
    x = 123,454,321/7,207
  6. Step 6: Final answer
    x = 17,129.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.