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Finding the Third Proportional to 7,099 and 11,113.50

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Solution

The third proportional to 7,099 and 11,113.50 is: 17,398.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099 : 11,113.50 = 11,113.50 : x
  2. Step 2: Convert to fraction form
    7,099/11,113.50 = 11,113.50/x
  3. Step 3: Cross multiply
    7,099x = 11,113.50 × 11,113.50
  4. Step 4: Simplify right side
    7,099x = 123,509,882.25
  5. Step 5: Solve for x
    x = 123,509,882.25/7,099
  6. Step 6: Final answer
    x = 17,398.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.