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Finding the Third Proportional to 450,589 and 697,454

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Solution

The third proportional to 450,589 and 697,454 is: 1,079,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,589 : 697,454 = 697,454 : x
  2. Step 2: Convert to fraction form
    450,589/697,454 = 697,454/x
  3. Step 3: Cross multiply
    450,589x = 697,454 × 697,454
  4. Step 4: Simplify right side
    450,589x = 486,442,082,116
  5. Step 5: Solve for x
    x = 486,442,082,116/450,589
  6. Step 6: Final answer
    x = 1,079,569.37

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Why These Related Problems?

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