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Finding the Third Proportional to 10,922 and 23,477

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Solution

The third proportional to 10,922 and 23,477 is: 50,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922 : 23,477 = 23,477 : x
  2. Step 2: Convert to fraction form
    10,922/23,477 = 23,477/x
  3. Step 3: Cross multiply
    10,922x = 23,477 × 23,477
  4. Step 4: Simplify right side
    10,922x = 551,169,529
  5. Step 5: Solve for x
    x = 551,169,529/10,922
  6. Step 6: Final answer
    x = 50,464.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.