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Finding the Third Proportional to 33,476 and 72,786

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Solution

The third proportional to 33,476 and 72,786 is: 158,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,476 : 72,786 = 72,786 : x
  2. Step 2: Convert to fraction form
    33,476/72,786 = 72,786/x
  3. Step 3: Cross multiply
    33,476x = 72,786 × 72,786
  4. Step 4: Simplify right side
    33,476x = 5,297,801,796
  5. Step 5: Solve for x
    x = 5,297,801,796/33,476
  6. Step 6: Final answer
    x = 158,256.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.