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Finding the Third Proportional to 200,431 and 308,207

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Solution

The third proportional to 200,431 and 308,207 is: 473,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,431 : 308,207 = 308,207 : x
  2. Step 2: Convert to fraction form
    200,431/308,207 = 308,207/x
  3. Step 3: Cross multiply
    200,431x = 308,207 × 308,207
  4. Step 4: Simplify right side
    200,431x = 94,991,554,849
  5. Step 5: Solve for x
    x = 94,991,554,849/200,431
  6. Step 6: Final answer
    x = 473,936.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.