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Finding the Third Proportional to 91,728 and 138,516

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Solution

The third proportional to 91,728 and 138,516 is: 209,169.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728 : 138,516 = 138,516 : x
  2. Step 2: Convert to fraction form
    91,728/138,516 = 138,516/x
  3. Step 3: Cross multiply
    91,728x = 138,516 × 138,516
  4. Step 4: Simplify right side
    91,728x = 19,186,682,256
  5. Step 5: Solve for x
    x = 19,186,682,256/91,728
  6. Step 6: Final answer
    x = 209,169.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.