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Finding the Third Proportional to 103,640 and 214,651

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Solution

The third proportional to 103,640 and 214,651 is: 444,568.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,640 : 214,651 = 214,651 : x
  2. Step 2: Convert to fraction form
    103,640/214,651 = 214,651/x
  3. Step 3: Cross multiply
    103,640x = 214,651 × 214,651
  4. Step 4: Simplify right side
    103,640x = 46,075,051,801
  5. Step 5: Solve for x
    x = 46,075,051,801/103,640
  6. Step 6: Final answer
    x = 444,568.23

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.