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Finding the Third Proportional to 2,106,849 and 3,190,864.50

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Solution

The third proportional to 2,106,849 and 3,190,864.50 is: 4,832,627.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106,849 : 3,190,864.50 = 3,190,864.50 : x
  2. Step 2: Convert to fraction form
    2,106,849/3,190,864.50 = 3,190,864.50/x
  3. Step 3: Cross multiply
    2,106,849x = 3,190,864.50 × 3,190,864.50
  4. Step 4: Simplify right side
    2,106,849x = 10,181,616,257,360.25
  5. Step 5: Solve for x
    x = 10,181,616,257,360.25/2,106,849
  6. Step 6: Final answer
    x = 4,832,627.42

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