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Finding the Third Proportional to 743.50 and 1,681.25

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Solution

The third proportional to 743.50 and 1,681.25 is: 3,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.50 : 1,681.25 = 1,681.25 : x
  2. Step 2: Convert to fraction form
    743.50/1,681.25 = 1,681.25/x
  3. Step 3: Cross multiply
    743.50x = 1,681.25 × 1,681.25
  4. Step 4: Simplify right side
    743.50x = 2,826,601.56
  5. Step 5: Solve for x
    x = 2,826,601.56/743.50
  6. Step 6: Final answer
    x = 3,801.75

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.