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Finding the Third Proportional to 3,434,132.25 and 6,781,833

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Solution

The third proportional to 3,434,132.25 and 6,781,833 is: 13,392,978.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434,132.25 : 6,781,833 = 6,781,833 : x
  2. Step 2: Convert to fraction form
    3,434,132.25/6,781,833 = 6,781,833/x
  3. Step 3: Cross multiply
    3,434,132.25x = 6,781,833 × 6,781,833
  4. Step 4: Simplify right side
    3,434,132.25x = 45,993,258,839,889
  5. Step 5: Solve for x
    x = 45,993,258,839,889/3,434,132.25
  6. Step 6: Final answer
    x = 13,392,978.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.