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Finding the Third Proportional to 400,704 and 846,120

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Solution

The third proportional to 400,704 and 846,120 is: 1,786,653.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704 : 846,120 = 846,120 : x
  2. Step 2: Convert to fraction form
    400,704/846,120 = 846,120/x
  3. Step 3: Cross multiply
    400,704x = 846,120 × 846,120
  4. Step 4: Simplify right side
    400,704x = 715,919,054,400
  5. Step 5: Solve for x
    x = 715,919,054,400/400,704
  6. Step 6: Final answer
    x = 1,786,653.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.