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Finding the Third Proportional to 8,242,406 and 12,608,378

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Solution

The third proportional to 8,242,406 and 12,608,378 is: 19,286,989.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242,406 : 12,608,378 = 12,608,378 : x
  2. Step 2: Convert to fraction form
    8,242,406/12,608,378 = 12,608,378/x
  3. Step 3: Cross multiply
    8,242,406x = 12,608,378 × 12,608,378
  4. Step 4: Simplify right side
    8,242,406x = 158,971,195,790,884
  5. Step 5: Solve for x
    x = 158,971,195,790,884/8,242,406
  6. Step 6: Final answer
    x = 19,286,989.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.