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Finding the Third Proportional to 7,750.50 and 10,998

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Solution

The third proportional to 7,750.50 and 10,998 is: 15,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.50 : 10,998 = 10,998 : x
  2. Step 2: Convert to fraction form
    7,750.50/10,998 = 10,998/x
  3. Step 3: Cross multiply
    7,750.50x = 10,998 × 10,998
  4. Step 4: Simplify right side
    7,750.50x = 120,956,004
  5. Step 5: Solve for x
    x = 120,956,004/7,750.50
  6. Step 6: Final answer
    x = 15,606.22

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.