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Finding the Third Proportional to 33,625.13 and 53,513.16

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Solution

The third proportional to 33,625.13 and 53,513.16 is: 85,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,625.13 : 53,513.16 = 53,513.16 : x
  2. Step 2: Convert to fraction form
    33,625.13/53,513.16 = 53,513.16/x
  3. Step 3: Cross multiply
    33,625.13x = 53,513.16 × 53,513.16
  4. Step 4: Simplify right side
    33,625.13x = 2,863,657,891.84
  5. Step 5: Solve for x
    x = 2,863,657,891.84/33,625.13
  6. Step 6: Final answer
    x = 85,164.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.