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Finding the Third Proportional to 19,419 and 29,838

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Solution

The third proportional to 19,419 and 29,838 is: 45,847.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419 : 29,838 = 29,838 : x
  2. Step 2: Convert to fraction form
    19,419/29,838 = 29,838/x
  3. Step 3: Cross multiply
    19,419x = 29,838 × 29,838
  4. Step 4: Simplify right side
    19,419x = 890,306,244
  5. Step 5: Solve for x
    x = 890,306,244/19,419
  6. Step 6: Final answer
    x = 45,847.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.