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Finding the Third Proportional to 7,209.50 and 15,643

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Solution

The third proportional to 7,209.50 and 15,643 is: 33,941.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,209.50 : 15,643 = 15,643 : x
  2. Step 2: Convert to fraction form
    7,209.50/15,643 = 15,643/x
  3. Step 3: Cross multiply
    7,209.50x = 15,643 × 15,643
  4. Step 4: Simplify right side
    7,209.50x = 244,703,449
  5. Step 5: Solve for x
    x = 244,703,449/7,209.50
  6. Step 6: Final answer
    x = 33,941.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.