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Finding the Third Proportional to 451,698.75 and 619,378.88

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Solution

The third proportional to 451,698.75 and 619,378.88 is: 849,305.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,698.75 : 619,378.88 = 619,378.88 : x
  2. Step 2: Convert to fraction form
    451,698.75/619,378.88 = 619,378.88/x
  3. Step 3: Cross multiply
    451,698.75x = 619,378.88 × 619,378.88
  4. Step 4: Simplify right side
    451,698.75x = 383,630,190,796.27
  5. Step 5: Solve for x
    x = 383,630,190,796.27/451,698.75
  6. Step 6: Final answer
    x = 849,305.41

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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.