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Finding the Third Proportional to 154,809 and 316,176

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Solution

The third proportional to 154,809 and 316,176 is: 645,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,809 : 316,176 = 316,176 : x
  2. Step 2: Convert to fraction form
    154,809/316,176 = 316,176/x
  3. Step 3: Cross multiply
    154,809x = 316,176 × 316,176
  4. Step 4: Simplify right side
    154,809x = 99,967,262,976
  5. Step 5: Solve for x
    x = 99,967,262,976/154,809
  6. Step 6: Final answer
    x = 645,745.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.