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Finding the Third Proportional to 420,426 and 629,127

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Solution

The third proportional to 420,426 and 629,127 is: 941,427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,426 : 629,127 = 629,127 : x
  2. Step 2: Convert to fraction form
    420,426/629,127 = 629,127/x
  3. Step 3: Cross multiply
    420,426x = 629,127 × 629,127
  4. Step 4: Simplify right side
    420,426x = 395,800,782,129
  5. Step 5: Solve for x
    x = 395,800,782,129/420,426
  6. Step 6: Final answer
    x = 941,427.94

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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.