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Finding the Third Proportional to 216,332 and 322,698

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Solution

The third proportional to 216,332 and 322,698 is: 481,361.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,332 : 322,698 = 322,698 : x
  2. Step 2: Convert to fraction form
    216,332/322,698 = 322,698/x
  3. Step 3: Cross multiply
    216,332x = 322,698 × 322,698
  4. Step 4: Simplify right side
    216,332x = 104,133,999,204
  5. Step 5: Solve for x
    x = 104,133,999,204/216,332
  6. Step 6: Final answer
    x = 481,361.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.