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Finding the Third Proportional to 400,516 and 812,084

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Solution

The third proportional to 400,516 and 812,084 is: 1,646,576.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,516 : 812,084 = 812,084 : x
  2. Step 2: Convert to fraction form
    400,516/812,084 = 812,084/x
  3. Step 3: Cross multiply
    400,516x = 812,084 × 812,084
  4. Step 4: Simplify right side
    400,516x = 659,480,423,056
  5. Step 5: Solve for x
    x = 659,480,423,056/400,516
  6. Step 6: Final answer
    x = 1,646,576.97

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.