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Finding the Third Proportional to 253,824.75 and 380,787

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Solution

The third proportional to 253,824.75 and 380,787 is: 571,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,824.75 : 380,787 = 380,787 : x
  2. Step 2: Convert to fraction form
    253,824.75/380,787 = 380,787/x
  3. Step 3: Cross multiply
    253,824.75x = 380,787 × 380,787
  4. Step 4: Simplify right side
    253,824.75x = 144,998,739,369
  5. Step 5: Solve for x
    x = 144,998,739,369/253,824.75
  6. Step 6: Final answer
    x = 571,255.32

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Why These Related Problems?

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