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Finding the Third Proportional to 402.72 and 858.19

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Solution

The third proportional to 402.72 and 858.19 is: 1,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.72 : 858.19 = 858.19 : x
  2. Step 2: Convert to fraction form
    402.72/858.19 = 858.19/x
  3. Step 3: Cross multiply
    402.72x = 858.19 × 858.19
  4. Step 4: Simplify right side
    402.72x = 736,485.79
  5. Step 5: Solve for x
    x = 736,485.79/402.72
  6. Step 6: Final answer
    x = 1,828.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.