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Finding the Third Proportional to 216,328 and 322,692

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Solution

The third proportional to 216,328 and 322,692 is: 481,352.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,328 : 322,692 = 322,692 : x
  2. Step 2: Convert to fraction form
    216,328/322,692 = 322,692/x
  3. Step 3: Cross multiply
    216,328x = 322,692 × 322,692
  4. Step 4: Simplify right side
    216,328x = 104,130,126,864
  5. Step 5: Solve for x
    x = 104,130,126,864/216,328
  6. Step 6: Final answer
    x = 481,352.98

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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.