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Finding the Third Proportional to 12,474,729 and 18,661,347

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Solution

The third proportional to 12,474,729 and 18,661,347 is: 27,916,107.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474,729 : 18,661,347 = 18,661,347 : x
  2. Step 2: Convert to fraction form
    12,474,729/18,661,347 = 18,661,347/x
  3. Step 3: Cross multiply
    12,474,729x = 18,661,347 × 18,661,347
  4. Step 4: Simplify right side
    12,474,729x = 348,245,871,854,409
  5. Step 5: Solve for x
    x = 348,245,871,854,409/12,474,729
  6. Step 6: Final answer
    x = 27,916,107.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.