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Finding the Third Proportional to 261,278 and 367,939

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Solution

The third proportional to 261,278 and 367,939 is: 518,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,278 : 367,939 = 367,939 : x
  2. Step 2: Convert to fraction form
    261,278/367,939 = 367,939/x
  3. Step 3: Cross multiply
    261,278x = 367,939 × 367,939
  4. Step 4: Simplify right side
    261,278x = 135,379,107,721
  5. Step 5: Solve for x
    x = 135,379,107,721/261,278
  6. Step 6: Final answer
    x = 518,142.01

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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.