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Finding the Third Proportional to 281,313 and 401,989

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Solution

The third proportional to 281,313 and 401,989 is: 574,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,313 : 401,989 = 401,989 : x
  2. Step 2: Convert to fraction form
    281,313/401,989 = 401,989/x
  3. Step 3: Cross multiply
    281,313x = 401,989 × 401,989
  4. Step 4: Simplify right side
    281,313x = 161,595,156,121
  5. Step 5: Solve for x
    x = 161,595,156,121/281,313
  6. Step 6: Final answer
    x = 574,431.88

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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.