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Finding the Third Proportional to 281,930.25 and 407,340.25

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Solution

The third proportional to 281,930.25 and 407,340.25 is: 588,535.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,930.25 : 407,340.25 = 407,340.25 : x
  2. Step 2: Convert to fraction form
    281,930.25/407,340.25 = 407,340.25/x
  3. Step 3: Cross multiply
    281,930.25x = 407,340.25 × 407,340.25
  4. Step 4: Simplify right side
    281,930.25x = 165,926,079,270.06
  5. Step 5: Solve for x
    x = 165,926,079,270.06/281,930.25
  6. Step 6: Final answer
    x = 588,535.92

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.