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Finding the Third Proportional to 19,236 and 29,720

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Solution

The third proportional to 19,236 and 29,720 is: 45,917.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,236 : 29,720 = 29,720 : x
  2. Step 2: Convert to fraction form
    19,236/29,720 = 29,720/x
  3. Step 3: Cross multiply
    19,236x = 29,720 × 29,720
  4. Step 4: Simplify right side
    19,236x = 883,278,400
  5. Step 5: Solve for x
    x = 883,278,400/19,236
  6. Step 6: Final answer
    x = 45,917.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.