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Finding the Third Proportional to 386.96 and 525.87

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Solution

The third proportional to 386.96 and 525.87 is: 714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.96 : 525.87 = 525.87 : x
  2. Step 2: Convert to fraction form
    386.96/525.87 = 525.87/x
  3. Step 3: Cross multiply
    386.96x = 525.87 × 525.87
  4. Step 4: Simplify right side
    386.96x = 276,536.30
  5. Step 5: Solve for x
    x = 276,536.30/386.96
  6. Step 6: Final answer
    x = 714.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.