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Finding the Third Proportional to 1,753,840 and 3,825,065

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Solution

The third proportional to 1,753,840 and 3,825,065 is: 8,342,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753,840 : 3,825,065 = 3,825,065 : x
  2. Step 2: Convert to fraction form
    1,753,840/3,825,065 = 3,825,065/x
  3. Step 3: Cross multiply
    1,753,840x = 3,825,065 × 3,825,065
  4. Step 4: Simplify right side
    1,753,840x = 14,631,122,254,225
  5. Step 5: Solve for x
    x = 14,631,122,254,225/1,753,840
  6. Step 6: Final answer
    x = 8,342,335.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.