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Finding the Third Proportional to 2,645,421 and 3,957,847

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Solution

The third proportional to 2,645,421 and 3,957,847 is: 5,921,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645,421 : 3,957,847 = 3,957,847 : x
  2. Step 2: Convert to fraction form
    2,645,421/3,957,847 = 3,957,847/x
  3. Step 3: Cross multiply
    2,645,421x = 3,957,847 × 3,957,847
  4. Step 4: Simplify right side
    2,645,421x = 15,664,552,875,409
  5. Step 5: Solve for x
    x = 15,664,552,875,409/2,645,421
  6. Step 6: Final answer
    x = 5,921,383.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.