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Finding the Third Proportional to 6,419,240 and 13,989,968

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Solution

The third proportional to 6,419,240 and 13,989,968 is: 30,489,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419,240 : 13,989,968 = 13,989,968 : x
  2. Step 2: Convert to fraction form
    6,419,240/13,989,968 = 13,989,968/x
  3. Step 3: Cross multiply
    6,419,240x = 13,989,968 × 13,989,968
  4. Step 4: Simplify right side
    6,419,240x = 195,719,204,641,024
  5. Step 5: Solve for x
    x = 195,719,204,641,024/6,419,240
  6. Step 6: Final answer
    x = 30,489,466.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.