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Finding the Third Proportional to 10,005.75 and 20,220.75

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Solution

The third proportional to 10,005.75 and 20,220.75 is: 40,864.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,005.75 : 20,220.75 = 20,220.75 : x
  2. Step 2: Convert to fraction form
    10,005.75/20,220.75 = 20,220.75/x
  3. Step 3: Cross multiply
    10,005.75x = 20,220.75 × 20,220.75
  4. Step 4: Simplify right side
    10,005.75x = 408,878,730.56
  5. Step 5: Solve for x
    x = 408,878,730.56/10,005.75
  6. Step 6: Final answer
    x = 40,864.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.