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Finding the Third Proportional to 239,958 and 342,918

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Solution

The third proportional to 239,958 and 342,918 is: 490,055.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,958 : 342,918 = 342,918 : x
  2. Step 2: Convert to fraction form
    239,958/342,918 = 342,918/x
  3. Step 3: Cross multiply
    239,958x = 342,918 × 342,918
  4. Step 4: Simplify right side
    239,958x = 117,592,754,724
  5. Step 5: Solve for x
    x = 117,592,754,724/239,958
  6. Step 6: Final answer
    x = 490,055.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.