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Finding the Third Proportional to 322,040 and 699,430

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Solution

The third proportional to 322,040 and 699,430 is: 1,519,073.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,040 : 699,430 = 699,430 : x
  2. Step 2: Convert to fraction form
    322,040/699,430 = 699,430/x
  3. Step 3: Cross multiply
    322,040x = 699,430 × 699,430
  4. Step 4: Simplify right side
    322,040x = 489,202,324,900
  5. Step 5: Solve for x
    x = 489,202,324,900/322,040
  6. Step 6: Final answer
    x = 1,519,073.17

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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.