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Finding the Third Proportional to 1,704,472.50 and 3,729,610.50

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Solution

The third proportional to 1,704,472.50 and 3,729,610.50 is: 8,160,879.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704,472.50 : 3,729,610.50 = 3,729,610.50 : x
  2. Step 2: Convert to fraction form
    1,704,472.50/3,729,610.50 = 3,729,610.50/x
  3. Step 3: Cross multiply
    1,704,472.50x = 3,729,610.50 × 3,729,610.50
  4. Step 4: Simplify right side
    1,704,472.50x = 13,909,994,481,710.25
  5. Step 5: Solve for x
    x = 13,909,994,481,710.25/1,704,472.50
  6. Step 6: Final answer
    x = 8,160,879.38

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.