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Finding the Third Proportional to 3,056,976 and 6,478,080

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Solution

The third proportional to 3,056,976 and 6,478,080 is: 13,727,788.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056,976 : 6,478,080 = 6,478,080 : x
  2. Step 2: Convert to fraction form
    3,056,976/6,478,080 = 6,478,080/x
  3. Step 3: Cross multiply
    3,056,976x = 6,478,080 × 6,478,080
  4. Step 4: Simplify right side
    3,056,976x = 41,965,520,486,400
  5. Step 5: Solve for x
    x = 41,965,520,486,400/3,056,976
  6. Step 6: Final answer
    x = 13,727,788.67

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.