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Finding the Third Proportional to 57,240 and 83,261.25

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Solution

The third proportional to 57,240 and 83,261.25 is: 121,111.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 83,261.25 = 83,261.25 : x
  2. Step 2: Convert to fraction form
    57,240/83,261.25 = 83,261.25/x
  3. Step 3: Cross multiply
    57,240x = 83,261.25 × 83,261.25
  4. Step 4: Simplify right side
    57,240x = 6,932,435,751.56
  5. Step 5: Solve for x
    x = 6,932,435,751.56/57,240
  6. Step 6: Final answer
    x = 121,111.74

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.