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Finding the Third Proportional to 71,223 and 153,729

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Solution

The third proportional to 71,223 and 153,729 is: 331,811.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,223 : 153,729 = 153,729 : x
  2. Step 2: Convert to fraction form
    71,223/153,729 = 153,729/x
  3. Step 3: Cross multiply
    71,223x = 153,729 × 153,729
  4. Step 4: Simplify right side
    71,223x = 23,632,605,441
  5. Step 5: Solve for x
    x = 23,632,605,441/71,223
  6. Step 6: Final answer
    x = 331,811.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.