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Finding the Third Proportional to 281,311 and 401,986

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Solution

The third proportional to 281,311 and 401,986 is: 574,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,311 : 401,986 = 401,986 : x
  2. Step 2: Convert to fraction form
    281,311/401,986 = 401,986/x
  3. Step 3: Cross multiply
    281,311x = 401,986 × 401,986
  4. Step 4: Simplify right side
    281,311x = 161,592,744,196
  5. Step 5: Solve for x
    x = 161,592,744,196/281,311
  6. Step 6: Final answer
    x = 574,427.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.