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Finding the Third Proportional to 3,109,986 and 4,638,009.50

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Solution

The third proportional to 3,109,986 and 4,638,009.50 is: 6,916,793.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109,986 : 4,638,009.50 = 4,638,009.50 : x
  2. Step 2: Convert to fraction form
    3,109,986/4,638,009.50 = 4,638,009.50/x
  3. Step 3: Cross multiply
    3,109,986x = 4,638,009.50 × 4,638,009.50
  4. Step 4: Simplify right side
    3,109,986x = 21,511,132,122,090.25
  5. Step 5: Solve for x
    x = 21,511,132,122,090.25/3,109,986
  6. Step 6: Final answer
    x = 6,916,793.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.