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Finding the Third Proportional to 3,200.50 and 6,623

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Solution

The third proportional to 3,200.50 and 6,623 is: 13,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200.50 : 6,623 = 6,623 : x
  2. Step 2: Convert to fraction form
    3,200.50/6,623 = 6,623/x
  3. Step 3: Cross multiply
    3,200.50x = 6,623 × 6,623
  4. Step 4: Simplify right side
    3,200.50x = 43,864,129
  5. Step 5: Solve for x
    x = 43,864,129/3,200.50
  6. Step 6: Final answer
    x = 13,705.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.