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Finding the Third Proportional to 274,761 and 435,903

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Solution

The third proportional to 274,761 and 435,903 is: 691,551.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,761 : 435,903 = 435,903 : x
  2. Step 2: Convert to fraction form
    274,761/435,903 = 435,903/x
  3. Step 3: Cross multiply
    274,761x = 435,903 × 435,903
  4. Step 4: Simplify right side
    274,761x = 190,011,425,409
  5. Step 5: Solve for x
    x = 190,011,425,409/274,761
  6. Step 6: Final answer
    x = 691,551.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.