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Finding the Third Proportional to 5,412,642 and 11,778,123

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Solution

The third proportional to 5,412,642 and 11,778,123 is: 25,629,661.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,412,642 : 11,778,123 = 11,778,123 : x
  2. Step 2: Convert to fraction form
    5,412,642/11,778,123 = 11,778,123/x
  3. Step 3: Cross multiply
    5,412,642x = 11,778,123 × 11,778,123
  4. Step 4: Simplify right side
    5,412,642x = 138,724,181,403,129
  5. Step 5: Solve for x
    x = 138,724,181,403,129/5,412,642
  6. Step 6: Final answer
    x = 25,629,661.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.