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Finding the Third Proportional to 302,869 and 475,178

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Solution

The third proportional to 302,869 and 475,178 is: 745,517.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,869 : 475,178 = 475,178 : x
  2. Step 2: Convert to fraction form
    302,869/475,178 = 475,178/x
  3. Step 3: Cross multiply
    302,869x = 475,178 × 475,178
  4. Step 4: Simplify right side
    302,869x = 225,794,131,684
  5. Step 5: Solve for x
    x = 225,794,131,684/302,869
  6. Step 6: Final answer
    x = 745,517.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.