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Finding the Third Proportional to 358,678 and 787,016

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Solution

The third proportional to 358,678 and 787,016 is: 1,726,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,678 : 787,016 = 787,016 : x
  2. Step 2: Convert to fraction form
    358,678/787,016 = 787,016/x
  3. Step 3: Cross multiply
    358,678x = 787,016 × 787,016
  4. Step 4: Simplify right side
    358,678x = 619,394,184,256
  5. Step 5: Solve for x
    x = 619,394,184,256/358,678
  6. Step 6: Final answer
    x = 1,726,880.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.