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Finding the Third Proportional to 743.75 and 1,507.75

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Solution

The third proportional to 743.75 and 1,507.75 is: 3,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.75 : 1,507.75 = 1,507.75 : x
  2. Step 2: Convert to fraction form
    743.75/1,507.75 = 1,507.75/x
  3. Step 3: Cross multiply
    743.75x = 1,507.75 × 1,507.75
  4. Step 4: Simplify right side
    743.75x = 2,273,310.06
  5. Step 5: Solve for x
    x = 2,273,310.06/743.75
  6. Step 6: Final answer
    x = 3,056.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.