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Finding the Third Proportional to 447,986 and 693,646

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Solution

The third proportional to 447,986 and 693,646 is: 1,074,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,986 : 693,646 = 693,646 : x
  2. Step 2: Convert to fraction form
    447,986/693,646 = 693,646/x
  3. Step 3: Cross multiply
    447,986x = 693,646 × 693,646
  4. Step 4: Simplify right side
    447,986x = 481,144,773,316
  5. Step 5: Solve for x
    x = 481,144,773,316/447,986
  6. Step 6: Final answer
    x = 1,074,017.43

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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.