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Finding the Third Proportional to 261,738 and 542,916

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Solution

The third proportional to 261,738 and 542,916 is: 1,126,155.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,738 : 542,916 = 542,916 : x
  2. Step 2: Convert to fraction form
    261,738/542,916 = 542,916/x
  3. Step 3: Cross multiply
    261,738x = 542,916 × 542,916
  4. Step 4: Simplify right side
    261,738x = 294,757,783,056
  5. Step 5: Solve for x
    x = 294,757,783,056/261,738
  6. Step 6: Final answer
    x = 1,126,155.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.