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Finding the Third Proportional to 12,171,323.25 and 18,954,916.31

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Solution

The third proportional to 12,171,323.25 and 18,954,916.31 is: 29,519,292.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171,323.25 : 18,954,916.31 = 18,954,916.31 : x
  2. Step 2: Convert to fraction form
    12,171,323.25/18,954,916.31 = 18,954,916.31/x
  3. Step 3: Cross multiply
    12,171,323.25x = 18,954,916.31 × 18,954,916.31
  4. Step 4: Simplify right side
    12,171,323.25x = 359,288,852,413,878.62
  5. Step 5: Solve for x
    x = 359,288,852,413,878.62/12,171,323.25
  6. Step 6: Final answer
    x = 29,519,292.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.