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Finding the Third Proportional to 71,514 and 153,990

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Solution

The third proportional to 71,514 and 153,990 is: 331,584.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,514 : 153,990 = 153,990 : x
  2. Step 2: Convert to fraction form
    71,514/153,990 = 153,990/x
  3. Step 3: Cross multiply
    71,514x = 153,990 × 153,990
  4. Step 4: Simplify right side
    71,514x = 23,712,920,100
  5. Step 5: Solve for x
    x = 23,712,920,100/71,514
  6. Step 6: Final answer
    x = 331,584.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.