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Finding the Third Proportional to 341,078 and 511,617

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Solution

The third proportional to 341,078 and 511,617 is: 767,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,078 : 511,617 = 511,617 : x
  2. Step 2: Convert to fraction form
    341,078/511,617 = 511,617/x
  3. Step 3: Cross multiply
    341,078x = 511,617 × 511,617
  4. Step 4: Simplify right side
    341,078x = 261,751,954,689
  5. Step 5: Solve for x
    x = 261,751,954,689/341,078
  6. Step 6: Final answer
    x = 767,425.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.