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Finding the Third Proportional to 454,351.50 and 660,370.50

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Solution

The third proportional to 454,351.50 and 660,370.50 is: 959,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,351.50 : 660,370.50 = 660,370.50 : x
  2. Step 2: Convert to fraction form
    454,351.50/660,370.50 = 660,370.50/x
  3. Step 3: Cross multiply
    454,351.50x = 660,370.50 × 660,370.50
  4. Step 4: Simplify right side
    454,351.50x = 436,089,197,270.25
  5. Step 5: Solve for x
    x = 436,089,197,270.25/454,351.50
  6. Step 6: Final answer
    x = 959,805.78

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.