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Finding the Third Proportional to 257.77 and 535.46

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Solution

The third proportional to 257.77 and 535.46 is: 1,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.77 : 535.46 = 535.46 : x
  2. Step 2: Convert to fraction form
    257.77/535.46 = 535.46/x
  3. Step 3: Cross multiply
    257.77x = 535.46 × 535.46
  4. Step 4: Simplify right side
    257.77x = 286,722.60
  5. Step 5: Solve for x
    x = 286,722.60/257.77
  6. Step 6: Final answer
    x = 1,112.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.