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Finding the Third Proportional to 3,638,165 and 7,921,777

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Solution

The third proportional to 3,638,165 and 7,921,777 is: 17,248,956.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,638,165 : 7,921,777 = 7,921,777 : x
  2. Step 2: Convert to fraction form
    3,638,165/7,921,777 = 7,921,777/x
  3. Step 3: Cross multiply
    3,638,165x = 7,921,777 × 7,921,777
  4. Step 4: Simplify right side
    3,638,165x = 62,754,550,837,729
  5. Step 5: Solve for x
    x = 62,754,550,837,729/3,638,165
  6. Step 6: Final answer
    x = 17,248,956.78

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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.