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Finding the Third Proportional to 477,277 and 668,989

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Solution

The third proportional to 477,277 and 668,989 is: 937,707.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,277 : 668,989 = 668,989 : x
  2. Step 2: Convert to fraction form
    477,277/668,989 = 668,989/x
  3. Step 3: Cross multiply
    477,277x = 668,989 × 668,989
  4. Step 4: Simplify right side
    477,277x = 447,546,282,121
  5. Step 5: Solve for x
    x = 447,546,282,121/477,277
  6. Step 6: Final answer
    x = 937,707.62

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.