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Finding the Third Proportional to 451,627.50 and 619,278

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Solution

The third proportional to 451,627.50 and 619,278 is: 849,162.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,627.50 : 619,278 = 619,278 : x
  2. Step 2: Convert to fraction form
    451,627.50/619,278 = 619,278/x
  3. Step 3: Cross multiply
    451,627.50x = 619,278 × 619,278
  4. Step 4: Simplify right side
    451,627.50x = 383,505,241,284
  5. Step 5: Solve for x
    x = 383,505,241,284/451,627.50
  6. Step 6: Final answer
    x = 849,162.73

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.