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Finding the Third Proportional to 9,137.50 and 19,661

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Solution

The third proportional to 9,137.50 and 19,661 is: 42,304.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.50 : 19,661 = 19,661 : x
  2. Step 2: Convert to fraction form
    9,137.50/19,661 = 19,661/x
  3. Step 3: Cross multiply
    9,137.50x = 19,661 × 19,661
  4. Step 4: Simplify right side
    9,137.50x = 386,554,921
  5. Step 5: Solve for x
    x = 386,554,921/9,137.50
  6. Step 6: Final answer
    x = 42,304.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.