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Finding the Third Proportional to 123,017 and 200,873

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Solution

The third proportional to 123,017 and 200,873 is: 328,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,017 : 200,873 = 200,873 : x
  2. Step 2: Convert to fraction form
    123,017/200,873 = 200,873/x
  3. Step 3: Cross multiply
    123,017x = 200,873 × 200,873
  4. Step 4: Simplify right side
    123,017x = 40,349,962,129
  5. Step 5: Solve for x
    x = 40,349,962,129/123,017
  6. Step 6: Final answer
    x = 328,003.14

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.