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Finding the Third Proportional to 419,032 and 648,705

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Solution

The third proportional to 419,032 and 648,705 is: 1,004,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,032 : 648,705 = 648,705 : x
  2. Step 2: Convert to fraction form
    419,032/648,705 = 648,705/x
  3. Step 3: Cross multiply
    419,032x = 648,705 × 648,705
  4. Step 4: Simplify right side
    419,032x = 420,818,177,025
  5. Step 5: Solve for x
    x = 420,818,177,025/419,032
  6. Step 6: Final answer
    x = 1,004,262.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.