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Finding the Third Proportional to 57,240 and 84,144.66

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Solution

The third proportional to 57,240 and 84,144.66 is: 123,695.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 84,144.66 = 84,144.66 : x
  2. Step 2: Convert to fraction form
    57,240/84,144.66 = 84,144.66/x
  3. Step 3: Cross multiply
    57,240x = 84,144.66 × 84,144.66
  4. Step 4: Simplify right side
    57,240x = 7,080,323,175.43
  5. Step 5: Solve for x
    x = 7,080,323,175.43/57,240
  6. Step 6: Final answer
    x = 123,695.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.