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Finding the Third Proportional to 9,781,161.75 and 21,243,843

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Solution

The third proportional to 9,781,161.75 and 21,243,843 is: 46,139,801.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781,161.75 : 21,243,843 = 21,243,843 : x
  2. Step 2: Convert to fraction form
    9,781,161.75/21,243,843 = 21,243,843/x
  3. Step 3: Cross multiply
    9,781,161.75x = 21,243,843 × 21,243,843
  4. Step 4: Simplify right side
    9,781,161.75x = 451,300,865,408,649
  5. Step 5: Solve for x
    x = 451,300,865,408,649/9,781,161.75
  6. Step 6: Final answer
    x = 46,139,801.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.