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Finding the Third Proportional to 261,504 and 391,905

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Solution

The third proportional to 261,504 and 391,905 is: 587,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,504 : 391,905 = 391,905 : x
  2. Step 2: Convert to fraction form
    261,504/391,905 = 391,905/x
  3. Step 3: Cross multiply
    261,504x = 391,905 × 391,905
  4. Step 4: Simplify right side
    261,504x = 153,589,529,025
  5. Step 5: Solve for x
    x = 153,589,529,025/261,504
  6. Step 6: Final answer
    x = 587,331.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.