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Finding the Third Proportional to 2,205,300 and 3,465,600

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Solution

The third proportional to 2,205,300 and 3,465,600 is: 5,446,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205,300 : 3,465,600 = 3,465,600 : x
  2. Step 2: Convert to fraction form
    2,205,300/3,465,600 = 3,465,600/x
  3. Step 3: Cross multiply
    2,205,300x = 3,465,600 × 3,465,600
  4. Step 4: Simplify right side
    2,205,300x = 12,010,383,360,000
  5. Step 5: Solve for x
    x = 12,010,383,360,000/2,205,300
  6. Step 6: Final answer
    x = 5,446,144.91

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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.