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Finding the Third Proportional to 10,411 and 22,121

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Solution

The third proportional to 10,411 and 22,121 is: 47,002.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,411 : 22,121 = 22,121 : x
  2. Step 2: Convert to fraction form
    10,411/22,121 = 22,121/x
  3. Step 3: Cross multiply
    10,411x = 22,121 × 22,121
  4. Step 4: Simplify right side
    10,411x = 489,338,641
  5. Step 5: Solve for x
    x = 489,338,641/10,411
  6. Step 6: Final answer
    x = 47,002.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.