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Finding the Third Proportional to 221,005,563.50 and 368,320,408

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Solution

The third proportional to 221,005,563.50 and 368,320,408 is: 613,830,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,005,563.50 : 368,320,408 = 368,320,408 : x
  2. Step 2: Convert to fraction form
    221,005,563.50/368,320,408 = 368,320,408/x
  3. Step 3: Cross multiply
    221,005,563.50x = 368,320,408 × 368,320,408
  4. Step 4: Simplify right side
    221,005,563.50x = 135,659,922,949,286,464
  5. Step 5: Solve for x
    x = 135,659,922,949,286,464/221,005,563.50
  6. Step 6: Final answer
    x = 613,830,352.51

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.