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Finding the Third Proportional to 336,740 and 522,818

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Solution

The third proportional to 336,740 and 522,818 is: 811,720.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,740 : 522,818 = 522,818 : x
  2. Step 2: Convert to fraction form
    336,740/522,818 = 522,818/x
  3. Step 3: Cross multiply
    336,740x = 522,818 × 522,818
  4. Step 4: Simplify right side
    336,740x = 273,338,661,124
  5. Step 5: Solve for x
    x = 273,338,661,124/336,740
  6. Step 6: Final answer
    x = 811,720.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.