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Finding the Third Proportional to 33,625.13 and 51,052.78

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Solution

The third proportional to 33,625.13 and 51,052.78 is: 77,513.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,625.13 : 51,052.78 = 51,052.78 : x
  2. Step 2: Convert to fraction form
    33,625.13/51,052.78 = 51,052.78/x
  3. Step 3: Cross multiply
    33,625.13x = 51,052.78 × 51,052.78
  4. Step 4: Simplify right side
    33,625.13x = 2,606,386,473.36
  5. Step 5: Solve for x
    x = 2,606,386,473.36/33,625.13
  6. Step 6: Final answer
    x = 77,513.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.