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Finding the Third Proportional to 12,822,006 and 19,917,297

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Solution

The third proportional to 12,822,006 and 19,917,297 is: 30,938,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,822,006 : 19,917,297 = 19,917,297 : x
  2. Step 2: Convert to fraction form
    12,822,006/19,917,297 = 19,917,297/x
  3. Step 3: Cross multiply
    12,822,006x = 19,917,297 × 19,917,297
  4. Step 4: Simplify right side
    12,822,006x = 396,698,719,786,209
  5. Step 5: Solve for x
    x = 396,698,719,786,209/12,822,006
  6. Step 6: Final answer
    x = 30,938,896.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.