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Finding the Third Proportional to 137,971 and 281,774

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Solution

The third proportional to 137,971 and 281,774 is: 575,458.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,971 : 281,774 = 281,774 : x
  2. Step 2: Convert to fraction form
    137,971/281,774 = 281,774/x
  3. Step 3: Cross multiply
    137,971x = 281,774 × 281,774
  4. Step 4: Simplify right side
    137,971x = 79,396,587,076
  5. Step 5: Solve for x
    x = 79,396,587,076/137,971
  6. Step 6: Final answer
    x = 575,458.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.