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Finding the Third Proportional to 311,072 and 460,042

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Solution

The third proportional to 311,072 and 460,042 is: 680,352.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,072 : 460,042 = 460,042 : x
  2. Step 2: Convert to fraction form
    311,072/460,042 = 460,042/x
  3. Step 3: Cross multiply
    311,072x = 460,042 × 460,042
  4. Step 4: Simplify right side
    311,072x = 211,638,641,764
  5. Step 5: Solve for x
    x = 211,638,641,764/311,072
  6. Step 6: Final answer
    x = 680,352.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.