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Finding the Third Proportional to 329,078 and 699,678

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Solution

The third proportional to 329,078 and 699,678 is: 1,487,639.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,078 : 699,678 = 699,678 : x
  2. Step 2: Convert to fraction form
    329,078/699,678 = 699,678/x
  3. Step 3: Cross multiply
    329,078x = 699,678 × 699,678
  4. Step 4: Simplify right side
    329,078x = 489,549,303,684
  5. Step 5: Solve for x
    x = 489,549,303,684/329,078
  6. Step 6: Final answer
    x = 1,487,639.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.