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Finding the Third Proportional to 525.39 and 839.35

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Solution

The third proportional to 525.39 and 839.35 is: 1,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.39 : 839.35 = 839.35 : x
  2. Step 2: Convert to fraction form
    525.39/839.35 = 839.35/x
  3. Step 3: Cross multiply
    525.39x = 839.35 × 839.35
  4. Step 4: Simplify right side
    525.39x = 704,502.85
  5. Step 5: Solve for x
    x = 704,502.85/525.39
  6. Step 6: Final answer
    x = 1,340.91

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.