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Finding the Third Proportional to 400,548 and 812,148

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Solution

The third proportional to 400,548 and 812,148 is: 1,646,704.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,548 : 812,148 = 812,148 : x
  2. Step 2: Convert to fraction form
    400,548/812,148 = 812,148/x
  3. Step 3: Cross multiply
    400,548x = 812,148 × 812,148
  4. Step 4: Simplify right side
    400,548x = 659,584,373,904
  5. Step 5: Solve for x
    x = 659,584,373,904/400,548
  6. Step 6: Final answer
    x = 1,646,704.95

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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.