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Finding the Third Proportional to 334,154 and 511,815

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Solution

The third proportional to 334,154 and 511,815 is: 783,933.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,154 : 511,815 = 511,815 : x
  2. Step 2: Convert to fraction form
    334,154/511,815 = 511,815/x
  3. Step 3: Cross multiply
    334,154x = 511,815 × 511,815
  4. Step 4: Simplify right side
    334,154x = 261,954,594,225
  5. Step 5: Solve for x
    x = 261,954,594,225/334,154
  6. Step 6: Final answer
    x = 783,933.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.