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Finding the Third Proportional to 261,284.25 and 381,843

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Solution

The third proportional to 261,284.25 and 381,843 is: 558,028.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,284.25 : 381,843 = 381,843 : x
  2. Step 2: Convert to fraction form
    261,284.25/381,843 = 381,843/x
  3. Step 3: Cross multiply
    261,284.25x = 381,843 × 381,843
  4. Step 4: Simplify right side
    261,284.25x = 145,804,076,649
  5. Step 5: Solve for x
    x = 145,804,076,649/261,284.25
  6. Step 6: Final answer
    x = 558,028.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.