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Finding the Third Proportional to 3,218,978 and 6,702,412

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Solution

The third proportional to 3,218,978 and 6,702,412 is: 13,955,462.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218,978 : 6,702,412 = 6,702,412 : x
  2. Step 2: Convert to fraction form
    3,218,978/6,702,412 = 6,702,412/x
  3. Step 3: Cross multiply
    3,218,978x = 6,702,412 × 6,702,412
  4. Step 4: Simplify right side
    3,218,978x = 44,922,326,617,744
  5. Step 5: Solve for x
    x = 44,922,326,617,744/3,218,978
  6. Step 6: Final answer
    x = 13,955,462.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.