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Finding the Third Proportional to 420 and 753.75

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Solution

The third proportional to 420 and 753.75 is: 1,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    420 : 753.75 = 753.75 : x
  2. Step 2: Convert to fraction form
    420/753.75 = 753.75/x
  3. Step 3: Cross multiply
    420x = 753.75 × 753.75
  4. Step 4: Simplify right side
    420x = 568,139.06
  5. Step 5: Solve for x
    x = 568,139.06/420
  6. Step 6: Final answer
    x = 1,352.71

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.