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Finding the Third Proportional to 10,419 and 22,062

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Solution

The third proportional to 10,419 and 22,062 is: 46,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419 : 22,062 = 22,062 : x
  2. Step 2: Convert to fraction form
    10,419/22,062 = 22,062/x
  3. Step 3: Cross multiply
    10,419x = 22,062 × 22,062
  4. Step 4: Simplify right side
    10,419x = 486,731,844
  5. Step 5: Solve for x
    x = 486,731,844/10,419
  6. Step 6: Final answer
    x = 46,715.79

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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.