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Finding the Third Proportional to 19,620 and 29,049

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Solution

The third proportional to 19,620 and 29,049 is: 43,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,620 : 29,049 = 29,049 : x
  2. Step 2: Convert to fraction form
    19,620/29,049 = 29,049/x
  3. Step 3: Cross multiply
    19,620x = 29,049 × 29,049
  4. Step 4: Simplify right side
    19,620x = 843,844,401
  5. Step 5: Solve for x
    x = 843,844,401/19,620
  6. Step 6: Final answer
    x = 43,009.40

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.