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Finding the Third Proportional to 320.88 and 475.50

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Solution

The third proportional to 320.88 and 475.50 is: 704.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.88 : 475.50 = 475.50 : x
  2. Step 2: Convert to fraction form
    320.88/475.50 = 475.50/x
  3. Step 3: Cross multiply
    320.88x = 475.50 × 475.50
  4. Step 4: Simplify right side
    320.88x = 226,100.25
  5. Step 5: Solve for x
    x = 226,100.25/320.88
  6. Step 6: Final answer
    x = 704.64

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.