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Finding the Third Proportional to 333,741.38 and 691,138.13

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Solution

The third proportional to 333,741.38 and 691,138.13 is: 1,431,263.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,741.38 : 691,138.13 = 691,138.13 : x
  2. Step 2: Convert to fraction form
    333,741.38/691,138.13 = 691,138.13/x
  3. Step 3: Cross multiply
    333,741.38x = 691,138.13 × 691,138.13
  4. Step 4: Simplify right side
    333,741.38x = 477,671,907,828.52
  5. Step 5: Solve for x
    x = 477,671,907,828.52/333,741.38
  6. Step 6: Final answer
    x = 1,431,263.68

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.