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Finding the Third Proportional to 57,571.50 and 135,710.25

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Solution

The third proportional to 57,571.50 and 135,710.25 is: 319,902.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,571.50 : 135,710.25 = 135,710.25 : x
  2. Step 2: Convert to fraction form
    57,571.50/135,710.25 = 135,710.25/x
  3. Step 3: Cross multiply
    57,571.50x = 135,710.25 × 135,710.25
  4. Step 4: Simplify right side
    57,571.50x = 18,417,271,955.06
  5. Step 5: Solve for x
    x = 18,417,271,955.06/57,571.50
  6. Step 6: Final answer
    x = 319,902.59

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.