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Finding the Third Proportional to 12,082,430 and 18,299,132

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Solution

The third proportional to 12,082,430 and 18,299,132 is: 27,714,477.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,082,430 : 18,299,132 = 18,299,132 : x
  2. Step 2: Convert to fraction form
    12,082,430/18,299,132 = 18,299,132/x
  3. Step 3: Cross multiply
    12,082,430x = 18,299,132 × 18,299,132
  4. Step 4: Simplify right side
    12,082,430x = 334,858,231,953,424
  5. Step 5: Solve for x
    x = 334,858,231,953,424/12,082,430
  6. Step 6: Final answer
    x = 27,714,477.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.