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Finding the Third Proportional to 30,726 and 74,223

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Solution

The third proportional to 30,726 and 74,223 is: 179,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,726 : 74,223 = 74,223 : x
  2. Step 2: Convert to fraction form
    30,726/74,223 = 74,223/x
  3. Step 3: Cross multiply
    30,726x = 74,223 × 74,223
  4. Step 4: Simplify right side
    30,726x = 5,509,053,729
  5. Step 5: Solve for x
    x = 5,509,053,729/30,726
  6. Step 6: Final answer
    x = 179,296.16

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.