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Finding the Third Proportional to 3,335,978 and 6,764,788

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Solution

The third proportional to 3,335,978 and 6,764,788 is: 13,717,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335,978 : 6,764,788 = 6,764,788 : x
  2. Step 2: Convert to fraction form
    3,335,978/6,764,788 = 6,764,788/x
  3. Step 3: Cross multiply
    3,335,978x = 6,764,788 × 6,764,788
  4. Step 4: Simplify right side
    3,335,978x = 45,762,356,684,944
  5. Step 5: Solve for x
    x = 45,762,356,684,944/3,335,978
  6. Step 6: Final answer
    x = 13,717,823.28

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.