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Finding the Third Proportional to 2,252,427.75 and 3,490,603.88

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Solution

The third proportional to 2,252,427.75 and 3,490,603.88 is: 5,409,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252,427.75 : 3,490,603.88 = 3,490,603.88 : x
  2. Step 2: Convert to fraction form
    2,252,427.75/3,490,603.88 = 3,490,603.88/x
  3. Step 3: Cross multiply
    2,252,427.75x = 3,490,603.88 × 3,490,603.88
  4. Step 4: Simplify right side
    2,252,427.75x = 12,184,315,412,165.02
  5. Step 5: Solve for x
    x = 12,184,315,412,165.02/2,252,427.75
  6. Step 6: Final answer
    x = 5,409,414.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.