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Finding the Third Proportional to 200,061 and 308,411

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Solution

The third proportional to 200,061 and 308,411 is: 475,441.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,061 : 308,411 = 308,411 : x
  2. Step 2: Convert to fraction form
    200,061/308,411 = 308,411/x
  3. Step 3: Cross multiply
    200,061x = 308,411 × 308,411
  4. Step 4: Simplify right side
    200,061x = 95,117,344,921
  5. Step 5: Solve for x
    x = 95,117,344,921/200,061
  6. Step 6: Final answer
    x = 475,441.71

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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.