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Finding the Third Proportional to 253,827 and 380,790

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Solution

The third proportional to 253,827 and 380,790 is: 571,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,827 : 380,790 = 380,790 : x
  2. Step 2: Convert to fraction form
    253,827/380,790 = 380,790/x
  3. Step 3: Cross multiply
    253,827x = 380,790 × 380,790
  4. Step 4: Simplify right side
    253,827x = 145,001,024,100
  5. Step 5: Solve for x
    x = 145,001,024,100/253,827
  6. Step 6: Final answer
    x = 571,259.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.