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Finding the Third Proportional to 29,821 and 40,357

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Solution

The third proportional to 29,821 and 40,357 is: 54,615.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821 : 40,357 = 40,357 : x
  2. Step 2: Convert to fraction form
    29,821/40,357 = 40,357/x
  3. Step 3: Cross multiply
    29,821x = 40,357 × 40,357
  4. Step 4: Simplify right side
    29,821x = 1,628,687,449
  5. Step 5: Solve for x
    x = 1,628,687,449/29,821
  6. Step 6: Final answer
    x = 54,615.45

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.