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Finding the Third Proportional to 286,672.50 and 400,956.75

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Solution

The third proportional to 286,672.50 and 400,956.75 is: 560,801.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,672.50 : 400,956.75 = 400,956.75 : x
  2. Step 2: Convert to fraction form
    286,672.50/400,956.75 = 400,956.75/x
  3. Step 3: Cross multiply
    286,672.50x = 400,956.75 × 400,956.75
  4. Step 4: Simplify right side
    286,672.50x = 160,766,315,370.56
  5. Step 5: Solve for x
    x = 160,766,315,370.56/286,672.50
  6. Step 6: Final answer
    x = 560,801.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.