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Finding the Third Proportional to 200,265 and 406,056

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Solution

The third proportional to 200,265 and 406,056 is: 823,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,265 : 406,056 = 406,056 : x
  2. Step 2: Convert to fraction form
    200,265/406,056 = 406,056/x
  3. Step 3: Cross multiply
    200,265x = 406,056 × 406,056
  4. Step 4: Simplify right side
    200,265x = 164,881,475,136
  5. Step 5: Solve for x
    x = 164,881,475,136/200,265
  6. Step 6: Final answer
    x = 823,316.48

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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.