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Finding the Third Proportional to 103,639 and 214,649

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Solution

The third proportional to 103,639 and 214,649 is: 444,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 214,649 = 214,649 : x
  2. Step 2: Convert to fraction form
    103,639/214,649 = 214,649/x
  3. Step 3: Cross multiply
    103,639x = 214,649 × 214,649
  4. Step 4: Simplify right side
    103,639x = 46,074,193,201
  5. Step 5: Solve for x
    x = 46,074,193,201/103,639
  6. Step 6: Final answer
    x = 444,564.24

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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.