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Finding the Third Proportional to 200,451 and 308,235

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Solution

The third proportional to 200,451 and 308,235 is: 473,975.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,451 : 308,235 = 308,235 : x
  2. Step 2: Convert to fraction form
    200,451/308,235 = 308,235/x
  3. Step 3: Cross multiply
    200,451x = 308,235 × 308,235
  4. Step 4: Simplify right side
    200,451x = 95,008,815,225
  5. Step 5: Solve for x
    x = 95,008,815,225/200,451
  6. Step 6: Final answer
    x = 473,975.26

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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.