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Finding the Third Proportional to 400,536 and 812,124

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Solution

The third proportional to 400,536 and 812,124 is: 1,646,656.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,536 : 812,124 = 812,124 : x
  2. Step 2: Convert to fraction form
    400,536/812,124 = 812,124/x
  3. Step 3: Cross multiply
    400,536x = 812,124 × 812,124
  4. Step 4: Simplify right side
    400,536x = 659,545,391,376
  5. Step 5: Solve for x
    x = 659,545,391,376/400,536
  6. Step 6: Final answer
    x = 1,646,656.96

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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.