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Finding the Third Proportional to 242,990.50 and 342,035

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Solution

The third proportional to 242,990.50 and 342,035 is: 481,450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,990.50 : 342,035 = 342,035 : x
  2. Step 2: Convert to fraction form
    242,990.50/342,035 = 342,035/x
  3. Step 3: Cross multiply
    242,990.50x = 342,035 × 342,035
  4. Step 4: Simplify right side
    242,990.50x = 116,987,941,225
  5. Step 5: Solve for x
    x = 116,987,941,225/242,990.50
  6. Step 6: Final answer
    x = 481,450.68

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.