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Finding the Third Proportional to 216,216 and 326,916

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Solution

The third proportional to 216,216 and 326,916 is: 494,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,216 : 326,916 = 326,916 : x
  2. Step 2: Convert to fraction form
    216,216/326,916 = 326,916/x
  3. Step 3: Cross multiply
    216,216x = 326,916 × 326,916
  4. Step 4: Simplify right side
    216,216x = 106,874,071,056
  5. Step 5: Solve for x
    x = 106,874,071,056/216,216
  6. Step 6: Final answer
    x = 494,293.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.