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Finding the Third Proportional to 281,022.75 and 428,537.25

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Solution

The third proportional to 281,022.75 and 428,537.25 is: 653,485.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,022.75 : 428,537.25 = 428,537.25 : x
  2. Step 2: Convert to fraction form
    281,022.75/428,537.25 = 428,537.25/x
  3. Step 3: Cross multiply
    281,022.75x = 428,537.25 × 428,537.25
  4. Step 4: Simplify right side
    281,022.75x = 183,644,174,637.56
  5. Step 5: Solve for x
    x = 183,644,174,637.56/281,022.75
  6. Step 6: Final answer
    x = 653,485.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.