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Finding the Third Proportional to 173,828 and 178,729

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Solution

The third proportional to 173,828 and 178,729 is: 183,768.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,828 : 178,729 = 178,729 : x
  2. Step 2: Convert to fraction form
    173,828/178,729 = 178,729/x
  3. Step 3: Cross multiply
    173,828x = 178,729 × 178,729
  4. Step 4: Simplify right side
    173,828x = 31,944,055,441
  5. Step 5: Solve for x
    x = 31,944,055,441/173,828
  6. Step 6: Final answer
    x = 183,768.18

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Why These Related Problems?

These problems maintain the same ratio (1.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.