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Finding the Third Proportional to 216,311 and 322,671

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Solution

The third proportional to 216,311 and 322,671 is: 481,328.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,311 : 322,671 = 322,671 : x
  2. Step 2: Convert to fraction form
    216,311/322,671 = 322,671/x
  3. Step 3: Cross multiply
    216,311x = 322,671 × 322,671
  4. Step 4: Simplify right side
    216,311x = 104,116,574,241
  5. Step 5: Solve for x
    x = 104,116,574,241/216,311
  6. Step 6: Final answer
    x = 481,328.15

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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.