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Finding the Third Proportional to 8,389,869 and 12,698,235

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Solution

The third proportional to 8,389,869 and 12,698,235 is: 19,219,033.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389,869 : 12,698,235 = 12,698,235 : x
  2. Step 2: Convert to fraction form
    8,389,869/12,698,235 = 12,698,235/x
  3. Step 3: Cross multiply
    8,389,869x = 12,698,235 × 12,698,235
  4. Step 4: Simplify right side
    8,389,869x = 161,245,172,115,225
  5. Step 5: Solve for x
    x = 161,245,172,115,225/8,389,869
  6. Step 6: Final answer
    x = 19,219,033.35

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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.