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Finding the Third Proportional to 450,134 and 696,766

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Solution

The third proportional to 450,134 and 696,766 is: 1,078,529.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,134 : 696,766 = 696,766 : x
  2. Step 2: Convert to fraction form
    450,134/696,766 = 696,766/x
  3. Step 3: Cross multiply
    450,134x = 696,766 × 696,766
  4. Step 4: Simplify right side
    450,134x = 485,482,858,756
  5. Step 5: Solve for x
    x = 485,482,858,756/450,134
  6. Step 6: Final answer
    x = 1,078,529.64

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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.