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Finding the Third Proportional to 20,989 and 46,640

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Solution

The third proportional to 20,989 and 46,640 is: 103,639.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,989 : 46,640 = 46,640 : x
  2. Step 2: Convert to fraction form
    20,989/46,640 = 46,640/x
  3. Step 3: Cross multiply
    20,989x = 46,640 × 46,640
  4. Step 4: Simplify right side
    20,989x = 2,175,289,600
  5. Step 5: Solve for x
    x = 2,175,289,600/20,989
  6. Step 6: Final answer
    x = 103,639.51

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.