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Finding the Third Proportional to 762.50 and 1,640.63

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Solution

The third proportional to 762.50 and 1,640.63 is: 3,530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.50 : 1,640.63 = 1,640.63 : x
  2. Step 2: Convert to fraction form
    762.50/1,640.63 = 1,640.63/x
  3. Step 3: Cross multiply
    762.50x = 1,640.63 × 1,640.63
  4. Step 4: Simplify right side
    762.50x = 2,691,650.39
  5. Step 5: Solve for x
    x = 2,691,650.39/762.50
  6. Step 6: Final answer
    x = 3,530.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.