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Finding the Third Proportional to 261,999.75 and 561,348.75

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Solution

The third proportional to 261,999.75 and 561,348.75 is: 1,202,720.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999.75 : 561,348.75 = 561,348.75 : x
  2. Step 2: Convert to fraction form
    261,999.75/561,348.75 = 561,348.75/x
  3. Step 3: Cross multiply
    261,999.75x = 561,348.75 × 561,348.75
  4. Step 4: Simplify right side
    261,999.75x = 315,112,419,126.56
  5. Step 5: Solve for x
    x = 315,112,419,126.56/261,999.75
  6. Step 6: Final answer
    x = 1,202,720.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.