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Finding the Third Proportional to 154,476 and 334,183.50

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Solution

The third proportional to 154,476 and 334,183.50 is: 722,951.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,476 : 334,183.50 = 334,183.50 : x
  2. Step 2: Convert to fraction form
    154,476/334,183.50 = 334,183.50/x
  3. Step 3: Cross multiply
    154,476x = 334,183.50 × 334,183.50
  4. Step 4: Simplify right side
    154,476x = 111,678,611,672.25
  5. Step 5: Solve for x
    x = 111,678,611,672.25/154,476
  6. Step 6: Final answer
    x = 722,951.21

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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.