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Finding the Third Proportional to 446,700 and 690,786

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Solution

The third proportional to 446,700 and 690,786 is: 1,068,245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,700 : 690,786 = 690,786 : x
  2. Step 2: Convert to fraction form
    446,700/690,786 = 690,786/x
  3. Step 3: Cross multiply
    446,700x = 690,786 × 690,786
  4. Step 4: Simplify right side
    446,700x = 477,185,297,796
  5. Step 5: Solve for x
    x = 477,185,297,796/446,700
  6. Step 6: Final answer
    x = 1,068,245.57

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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.