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Finding the Third Proportional to 1,608,306.50 and 3,536,462

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Solution

The third proportional to 1,608,306.50 and 3,536,462 is: 7,776,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608,306.50 : 3,536,462 = 3,536,462 : x
  2. Step 2: Convert to fraction form
    1,608,306.50/3,536,462 = 3,536,462/x
  3. Step 3: Cross multiply
    1,608,306.50x = 3,536,462 × 3,536,462
  4. Step 4: Simplify right side
    1,608,306.50x = 12,506,563,477,444
  5. Step 5: Solve for x
    x = 12,506,563,477,444/1,608,306.50
  6. Step 6: Final answer
    x = 7,776,231.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.