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Finding the Third Proportional to 9,635 and 19,915

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Solution

The third proportional to 9,635 and 19,915 is: 41,163.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635 : 19,915 = 19,915 : x
  2. Step 2: Convert to fraction form
    9,635/19,915 = 19,915/x
  3. Step 3: Cross multiply
    9,635x = 19,915 × 19,915
  4. Step 4: Simplify right side
    9,635x = 396,607,225
  5. Step 5: Solve for x
    x = 396,607,225/9,635
  6. Step 6: Final answer
    x = 41,163.18

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1.5x scale

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.