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Finding the Third Proportional to 135,928 and 319,813

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Solution

The third proportional to 135,928 and 319,813 is: 752,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,928 : 319,813 = 319,813 : x
  2. Step 2: Convert to fraction form
    135,928/319,813 = 319,813/x
  3. Step 3: Cross multiply
    135,928x = 319,813 × 319,813
  4. Step 4: Simplify right side
    135,928x = 102,280,354,969
  5. Step 5: Solve for x
    x = 102,280,354,969/135,928
  6. Step 6: Final answer
    x = 752,459.79

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.