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Finding the Third Proportional to 242,379 and 367,942.50

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Solution

The third proportional to 242,379 and 367,942.50 is: 558,553.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,379 : 367,942.50 = 367,942.50 : x
  2. Step 2: Convert to fraction form
    242,379/367,942.50 = 367,942.50/x
  3. Step 3: Cross multiply
    242,379x = 367,942.50 × 367,942.50
  4. Step 4: Simplify right side
    242,379x = 135,381,683,306.25
  5. Step 5: Solve for x
    x = 135,381,683,306.25/242,379
  6. Step 6: Final answer
    x = 558,553.68

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.