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Finding the Third Proportional to 281,171.25 and 400,722.19

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Solution

The third proportional to 281,171.25 and 400,722.19 is: 571,104.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,171.25 : 400,722.19 = 400,722.19 : x
  2. Step 2: Convert to fraction form
    281,171.25/400,722.19 = 400,722.19/x
  3. Step 3: Cross multiply
    281,171.25x = 400,722.19 × 400,722.19
  4. Step 4: Simplify right side
    281,171.25x = 160,578,271,554.79
  5. Step 5: Solve for x
    x = 160,578,271,554.79/281,171.25
  6. Step 6: Final answer
    x = 571,104.87

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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.