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Finding the Third Proportional to 420,522.75 and 629,041.50

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Solution

The third proportional to 420,522.75 and 629,041.50 is: 940,955.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,522.75 : 629,041.50 = 629,041.50 : x
  2. Step 2: Convert to fraction form
    420,522.75/629,041.50 = 629,041.50/x
  3. Step 3: Cross multiply
    420,522.75x = 629,041.50 × 629,041.50
  4. Step 4: Simplify right side
    420,522.75x = 395,693,208,722.25
  5. Step 5: Solve for x
    x = 395,693,208,722.25/420,522.75
  6. Step 6: Final answer
    x = 940,955.53

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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.