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Finding the Third Proportional to 6,603 and 10,240.50

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Solution

The third proportional to 6,603 and 10,240.50 is: 15,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603 : 10,240.50 = 10,240.50 : x
  2. Step 2: Convert to fraction form
    6,603/10,240.50 = 10,240.50/x
  3. Step 3: Cross multiply
    6,603x = 10,240.50 × 10,240.50
  4. Step 4: Simplify right side
    6,603x = 104,867,840.25
  5. Step 5: Solve for x
    x = 104,867,840.25/6,603
  6. Step 6: Final answer
    x = 15,881.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.