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Finding the Third Proportional to 200,303 and 406,138

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Solution

The third proportional to 200,303 and 406,138 is: 823,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,303 : 406,138 = 406,138 : x
  2. Step 2: Convert to fraction form
    200,303/406,138 = 406,138/x
  3. Step 3: Cross multiply
    200,303x = 406,138 × 406,138
  4. Step 4: Simplify right side
    200,303x = 164,948,075,044
  5. Step 5: Solve for x
    x = 164,948,075,044/200,303
  6. Step 6: Final answer
    x = 823,492.78

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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.