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Finding the Third Proportional to 340,922 and 511,167

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Solution

The third proportional to 340,922 and 511,167 is: 766,426.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,922 : 511,167 = 511,167 : x
  2. Step 2: Convert to fraction form
    340,922/511,167 = 511,167/x
  3. Step 3: Cross multiply
    340,922x = 511,167 × 511,167
  4. Step 4: Simplify right side
    340,922x = 261,291,701,889
  5. Step 5: Solve for x
    x = 261,291,701,889/340,922
  6. Step 6: Final answer
    x = 766,426.64

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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.