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Finding the Third Proportional to 425.57 and 828.35

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Solution

The third proportional to 425.57 and 828.35 is: 1,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.57 : 828.35 = 828.35 : x
  2. Step 2: Convert to fraction form
    425.57/828.35 = 828.35/x
  3. Step 3: Cross multiply
    425.57x = 828.35 × 828.35
  4. Step 4: Simplify right side
    425.57x = 686,166.31
  5. Step 5: Solve for x
    x = 686,166.31/425.57
  6. Step 6: Final answer
    x = 1,612.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.