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Finding the Third Proportional to 143,938 and 304,485

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Solution

The third proportional to 143,938 and 304,485 is: 644,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,938 : 304,485 = 304,485 : x
  2. Step 2: Convert to fraction form
    143,938/304,485 = 304,485/x
  3. Step 3: Cross multiply
    143,938x = 304,485 × 304,485
  4. Step 4: Simplify right side
    143,938x = 92,711,115,225
  5. Step 5: Solve for x
    x = 92,711,115,225/143,938
  6. Step 6: Final answer
    x = 644,104.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.