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Finding the Third Proportional to 2,420,935 and 5,242,657

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Solution

The third proportional to 2,420,935 and 5,242,657 is: 11,353,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,420,935 : 5,242,657 = 5,242,657 : x
  2. Step 2: Convert to fraction form
    2,420,935/5,242,657 = 5,242,657/x
  3. Step 3: Cross multiply
    2,420,935x = 5,242,657 × 5,242,657
  4. Step 4: Simplify right side
    2,420,935x = 27,485,452,419,649
  5. Step 5: Solve for x
    x = 27,485,452,419,649/2,420,935
  6. Step 6: Final answer
    x = 11,353,238.49

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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.