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Finding the Third Proportional to 361,042 and 783,318

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Solution

The third proportional to 361,042 and 783,318 is: 1,699,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,042 : 783,318 = 783,318 : x
  2. Step 2: Convert to fraction form
    361,042/783,318 = 783,318/x
  3. Step 3: Cross multiply
    361,042x = 783,318 × 783,318
  4. Step 4: Simplify right side
    361,042x = 613,587,089,124
  5. Step 5: Solve for x
    x = 613,587,089,124/361,042
  6. Step 6: Final answer
    x = 1,699,489.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.