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Finding the Third Proportional to 135,195 and 312,968

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Solution

The third proportional to 135,195 and 312,968 is: 724,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,195 : 312,968 = 312,968 : x
  2. Step 2: Convert to fraction form
    135,195/312,968 = 312,968/x
  3. Step 3: Cross multiply
    135,195x = 312,968 × 312,968
  4. Step 4: Simplify right side
    135,195x = 97,948,969,024
  5. Step 5: Solve for x
    x = 97,948,969,024/135,195
  6. Step 6: Final answer
    x = 724,501.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.