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Finding the Third Proportional to 320.44 and 525.56

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Solution

The third proportional to 320.44 and 525.56 is: 862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.44 : 525.56 = 525.56 : x
  2. Step 2: Convert to fraction form
    320.44/525.56 = 525.56/x
  3. Step 3: Cross multiply
    320.44x = 525.56 × 525.56
  4. Step 4: Simplify right side
    320.44x = 276,215.94
  5. Step 5: Solve for x
    x = 276,215.94/320.44
  6. Step 6: Final answer
    x = 862.00

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.