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Finding the Third Proportional to 10,220 and 21,232

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Solution

The third proportional to 10,220 and 21,232 is: 44,109.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,220 : 21,232 = 21,232 : x
  2. Step 2: Convert to fraction form
    10,220/21,232 = 21,232/x
  3. Step 3: Cross multiply
    10,220x = 21,232 × 21,232
  4. Step 4: Simplify right side
    10,220x = 450,797,824
  5. Step 5: Solve for x
    x = 450,797,824/10,220
  6. Step 6: Final answer
    x = 44,109.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.