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Finding the Third Proportional to 420,534 and 629,055

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Solution

The third proportional to 420,534 and 629,055 is: 940,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,534 : 629,055 = 629,055 : x
  2. Step 2: Convert to fraction form
    420,534/629,055 = 629,055/x
  3. Step 3: Cross multiply
    420,534x = 629,055 × 629,055
  4. Step 4: Simplify right side
    420,534x = 395,710,193,025
  5. Step 5: Solve for x
    x = 395,710,193,025/420,534
  6. Step 6: Final answer
    x = 940,970.75

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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.