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Finding the Third Proportional to 135,123 and 312,819

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Solution

The third proportional to 135,123 and 312,819 is: 724,197.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,123 : 312,819 = 312,819 : x
  2. Step 2: Convert to fraction form
    135,123/312,819 = 312,819/x
  3. Step 3: Cross multiply
    135,123x = 312,819 × 312,819
  4. Step 4: Simplify right side
    135,123x = 97,855,726,761
  5. Step 5: Solve for x
    x = 97,855,726,761/135,123
  6. Step 6: Final answer
    x = 724,197.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.