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Finding the Third Proportional to 400,302 and 864,756

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Solution

The third proportional to 400,302 and 864,756 is: 1,868,096.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,302 : 864,756 = 864,756 : x
  2. Step 2: Convert to fraction form
    400,302/864,756 = 864,756/x
  3. Step 3: Cross multiply
    400,302x = 864,756 × 864,756
  4. Step 4: Simplify right side
    400,302x = 747,802,939,536
  5. Step 5: Solve for x
    x = 747,802,939,536/400,302
  6. Step 6: Final answer
    x = 1,868,096.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.