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Finding the Third Proportional to 200,017 and 426,818

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Solution

The third proportional to 200,017 and 426,818 is: 910,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,017 : 426,818 = 426,818 : x
  2. Step 2: Convert to fraction form
    200,017/426,818 = 426,818/x
  3. Step 3: Cross multiply
    200,017x = 426,818 × 426,818
  4. Step 4: Simplify right side
    200,017x = 182,173,605,124
  5. Step 5: Solve for x
    x = 182,173,605,124/200,017
  6. Step 6: Final answer
    x = 910,790.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.