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Finding the Third Proportional to 91,728 and 140,220

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Solution

The third proportional to 91,728 and 140,220 is: 214,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 140,220 = 140,220 : x
  2. Step 2: Convert to fraction form
    91,728/140,220 = 140,220/x
  3. Step 3: Cross multiply
    91,728x = 140,220 × 140,220
  4. Step 4: Simplify right side
    91,728x = 19,661,648,400
  5. Step 5: Solve for x
    x = 19,661,648,400/91,728
  6. Step 6: Final answer
    x = 214,347.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.