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Finding the Third Proportional to 12,983,949 and 20,184,693

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Solution

The third proportional to 12,983,949 and 20,184,693 is: 31,378,884.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,983,949 : 20,184,693 = 20,184,693 : x
  2. Step 2: Convert to fraction form
    12,983,949/20,184,693 = 20,184,693/x
  3. Step 3: Cross multiply
    12,983,949x = 20,184,693 × 20,184,693
  4. Step 4: Simplify right side
    12,983,949x = 407,421,831,504,249
  5. Step 5: Solve for x
    x = 407,421,831,504,249/12,983,949
  6. Step 6: Final answer
    x = 31,378,884.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.