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Finding the Third Proportional to 8,389,868 and 12,698,232

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Solution

The third proportional to 8,389,868 and 12,698,232 is: 19,219,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,389,868 : 12,698,232 = 12,698,232 : x
  2. Step 2: Convert to fraction form
    8,389,868/12,698,232 = 12,698,232/x
  3. Step 3: Cross multiply
    8,389,868x = 12,698,232 × 12,698,232
  4. Step 4: Simplify right side
    8,389,868x = 161,245,095,925,824
  5. Step 5: Solve for x
    x = 161,245,095,925,824/8,389,868
  6. Step 6: Final answer
    x = 19,219,026.56

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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.