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Finding the Third Proportional to 525.75 and 729.09

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Solution

The third proportional to 525.75 and 729.09 is: 1,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.75 : 729.09 = 729.09 : x
  2. Step 2: Convert to fraction form
    525.75/729.09 = 729.09/x
  3. Step 3: Cross multiply
    525.75x = 729.09 × 729.09
  4. Step 4: Simplify right side
    525.75x = 531,577.70
  5. Step 5: Solve for x
    x = 531,577.70/525.75
  6. Step 6: Final answer
    x = 1,011.08

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.