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Finding the Third Proportional to 321,983 and 699,321

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Solution

The third proportional to 321,983 and 699,321 is: 1,518,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,983 : 699,321 = 699,321 : x
  2. Step 2: Convert to fraction form
    321,983/699,321 = 699,321/x
  3. Step 3: Cross multiply
    321,983x = 699,321 × 699,321
  4. Step 4: Simplify right side
    321,983x = 489,049,861,041
  5. Step 5: Solve for x
    x = 489,049,861,041/321,983
  6. Step 6: Final answer
    x = 1,518,868.58

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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.