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Finding the Third Proportional to 3,686,236.50 and 5,770,108.50

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Solution

The third proportional to 3,686,236.50 and 5,770,108.50 is: 9,032,017.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686,236.50 : 5,770,108.50 = 5,770,108.50 : x
  2. Step 2: Convert to fraction form
    3,686,236.50/5,770,108.50 = 5,770,108.50/x
  3. Step 3: Cross multiply
    3,686,236.50x = 5,770,108.50 × 5,770,108.50
  4. Step 4: Simplify right side
    3,686,236.50x = 33,294,152,101,772.25
  5. Step 5: Solve for x
    x = 33,294,152,101,772.25/3,686,236.50
  6. Step 6: Final answer
    x = 9,032,017.37

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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.