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Finding the Third Proportional to 85,728 and 125,240

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Solution

The third proportional to 85,728 and 125,240 is: 182,963.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,728 : 125,240 = 125,240 : x
  2. Step 2: Convert to fraction form
    85,728/125,240 = 125,240/x
  3. Step 3: Cross multiply
    85,728x = 125,240 × 125,240
  4. Step 4: Simplify right side
    85,728x = 15,685,057,600
  5. Step 5: Solve for x
    x = 15,685,057,600/85,728
  6. Step 6: Final answer
    x = 182,963.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.