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Finding the Third Proportional to 390,864 and 587,268

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Solution

The third proportional to 390,864 and 587,268 is: 882,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,864 : 587,268 = 587,268 : x
  2. Step 2: Convert to fraction form
    390,864/587,268 = 587,268/x
  3. Step 3: Cross multiply
    390,864x = 587,268 × 587,268
  4. Step 4: Simplify right side
    390,864x = 344,883,703,824
  5. Step 5: Solve for x
    x = 344,883,703,824/390,864
  6. Step 6: Final answer
    x = 882,362.42

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