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Finding the Third Proportional to 33,561 and 74,108.25

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Solution

The third proportional to 33,561 and 74,108.25 is: 163,643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,561 : 74,108.25 = 74,108.25 : x
  2. Step 2: Convert to fraction form
    33,561/74,108.25 = 74,108.25/x
  3. Step 3: Cross multiply
    33,561x = 74,108.25 × 74,108.25
  4. Step 4: Simplify right side
    33,561x = 5,492,032,718.06
  5. Step 5: Solve for x
    x = 5,492,032,718.06/33,561
  6. Step 6: Final answer
    x = 163,643.30

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.