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Finding the Third Proportional to 261,999.38 and 561,348.38

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Solution

The third proportional to 261,999.38 and 561,348.38 is: 1,202,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,999.38 : 561,348.38 = 561,348.38 : x
  2. Step 2: Convert to fraction form
    261,999.38/561,348.38 = 561,348.38/x
  3. Step 3: Cross multiply
    261,999.38x = 561,348.38 × 561,348.38
  4. Step 4: Simplify right side
    261,999.38x = 315,111,998,115.14
  5. Step 5: Solve for x
    x = 315,111,998,115.14/261,999.38
  6. Step 6: Final answer
    x = 1,202,720.42

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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.