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Finding the Third Proportional to 242,995 and 342,039

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Solution

The third proportional to 242,995 and 342,039 is: 481,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,995 : 342,039 = 342,039 : x
  2. Step 2: Convert to fraction form
    242,995/342,039 = 342,039/x
  3. Step 3: Cross multiply
    242,995x = 342,039 × 342,039
  4. Step 4: Simplify right side
    242,995x = 116,990,677,521
  5. Step 5: Solve for x
    x = 116,990,677,521/242,995
  6. Step 6: Final answer
    x = 481,453.02

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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.