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Finding the Third Proportional to 9,690 and 13,972.50

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Solution

The third proportional to 9,690 and 13,972.50 is: 20,147.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690 : 13,972.50 = 13,972.50 : x
  2. Step 2: Convert to fraction form
    9,690/13,972.50 = 13,972.50/x
  3. Step 3: Cross multiply
    9,690x = 13,972.50 × 13,972.50
  4. Step 4: Simplify right side
    9,690x = 195,230,756.25
  5. Step 5: Solve for x
    x = 195,230,756.25/9,690
  6. Step 6: Final answer
    x = 20,147.65

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.