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Finding the Third Proportional to 237,278 and 494,239

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Solution

The third proportional to 237,278 and 494,239 is: 1,029,476.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,278 : 494,239 = 494,239 : x
  2. Step 2: Convert to fraction form
    237,278/494,239 = 494,239/x
  3. Step 3: Cross multiply
    237,278x = 494,239 × 494,239
  4. Step 4: Simplify right side
    237,278x = 244,272,189,121
  5. Step 5: Solve for x
    x = 244,272,189,121/237,278
  6. Step 6: Final answer
    x = 1,029,476.77

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.