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Finding the Third Proportional to 381,213.75 and 801,741.75

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Solution

The third proportional to 381,213.75 and 801,741.75 is: 1,686,166.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,213.75 : 801,741.75 = 801,741.75 : x
  2. Step 2: Convert to fraction form
    381,213.75/801,741.75 = 801,741.75/x
  3. Step 3: Cross multiply
    381,213.75x = 801,741.75 × 801,741.75
  4. Step 4: Simplify right side
    381,213.75x = 642,789,833,693.06
  5. Step 5: Solve for x
    x = 642,789,833,693.06/381,213.75
  6. Step 6: Final answer
    x = 1,686,166.45

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.