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Finding the Third Proportional to 33,637.50 and 53,534.25

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Solution

The third proportional to 33,637.50 and 53,534.25 is: 85,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,637.50 : 53,534.25 = 53,534.25 : x
  2. Step 2: Convert to fraction form
    33,637.50/53,534.25 = 53,534.25/x
  3. Step 3: Cross multiply
    33,637.50x = 53,534.25 × 53,534.25
  4. Step 4: Simplify right side
    33,637.50x = 2,865,915,923.06
  5. Step 5: Solve for x
    x = 2,865,915,923.06/33,637.50
  6. Step 6: Final answer
    x = 85,200.03

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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.