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Finding the Third Proportional to 10,212.75 and 22,332.38

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Solution

The third proportional to 10,212.75 and 22,332.38 is: 48,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.75 : 22,332.38 = 22,332.38 : x
  2. Step 2: Convert to fraction form
    10,212.75/22,332.38 = 22,332.38/x
  3. Step 3: Cross multiply
    10,212.75x = 22,332.38 × 22,332.38
  4. Step 4: Simplify right side
    10,212.75x = 498,734,973.14
  5. Step 5: Solve for x
    x = 498,734,973.14/10,212.75
  6. Step 6: Final answer
    x = 48,834.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.