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Finding the Third Proportional to 35,415 and 76,638

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Solution

The third proportional to 35,415 and 76,638 is: 165,844.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,415 : 76,638 = 76,638 : x
  2. Step 2: Convert to fraction form
    35,415/76,638 = 76,638/x
  3. Step 3: Cross multiply
    35,415x = 76,638 × 76,638
  4. Step 4: Simplify right side
    35,415x = 5,873,383,044
  5. Step 5: Solve for x
    x = 5,873,383,044/35,415
  6. Step 6: Final answer
    x = 165,844.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.