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Finding the Third Proportional to 420,518.25 and 629,035.88

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Solution

The third proportional to 420,518.25 and 629,035.88 is: 940,948.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,518.25 : 629,035.88 = 629,035.88 : x
  2. Step 2: Convert to fraction form
    420,518.25/629,035.88 = 629,035.88/x
  3. Step 3: Cross multiply
    420,518.25x = 629,035.88 × 629,035.88
  4. Step 4: Simplify right side
    420,518.25x = 395,686,132,037.02
  5. Step 5: Solve for x
    x = 395,686,132,037.02/420,518.25
  6. Step 6: Final answer
    x = 940,948.77

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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.