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Finding the Third Proportional to 454,978 and 713,661

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Solution

The third proportional to 454,978 and 713,661 is: 1,119,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,978 : 713,661 = 713,661 : x
  2. Step 2: Convert to fraction form
    454,978/713,661 = 713,661/x
  3. Step 3: Cross multiply
    454,978x = 713,661 × 713,661
  4. Step 4: Simplify right side
    454,978x = 509,312,022,921
  5. Step 5: Solve for x
    x = 509,312,022,921/454,978
  6. Step 6: Final answer
    x = 1,119,421.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.