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Finding the Third Proportional to 210,530 and 304,738

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Solution

The third proportional to 210,530 and 304,738 is: 441,102.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,530 : 304,738 = 304,738 : x
  2. Step 2: Convert to fraction form
    210,530/304,738 = 304,738/x
  3. Step 3: Cross multiply
    210,530x = 304,738 × 304,738
  4. Step 4: Simplify right side
    210,530x = 92,865,248,644
  5. Step 5: Solve for x
    x = 92,865,248,644/210,530
  6. Step 6: Final answer
    x = 441,102.21

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.