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Finding the Third Proportional to 1,638,930 and 2,565,325

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Solution

The third proportional to 1,638,930 and 2,565,325 is: 4,015,359.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,930 : 2,565,325 = 2,565,325 : x
  2. Step 2: Convert to fraction form
    1,638,930/2,565,325 = 2,565,325/x
  3. Step 3: Cross multiply
    1,638,930x = 2,565,325 × 2,565,325
  4. Step 4: Simplify right side
    1,638,930x = 6,580,892,355,625
  5. Step 5: Solve for x
    x = 6,580,892,355,625/1,638,930
  6. Step 6: Final answer
    x = 4,015,359.02

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.