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Finding the Third Proportional to 293,149.13 and 642,405.94

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Solution

The third proportional to 293,149.13 and 642,405.94 is: 1,407,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,149.13 : 642,405.94 = 642,405.94 : x
  2. Step 2: Convert to fraction form
    293,149.13/642,405.94 = 642,405.94/x
  3. Step 3: Cross multiply
    293,149.13x = 642,405.94 × 642,405.94
  4. Step 4: Simplify right side
    293,149.13x = 412,685,388,535.25
  5. Step 5: Solve for x
    x = 412,685,388,535.25/293,149.13
  6. Step 6: Final answer
    x = 1,407,766.06

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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.