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Finding the Third Proportional to 637.31 and 1,292.55

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Solution

The third proportional to 637.31 and 1,292.55 is: 2,621.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.31 : 1,292.55 = 1,292.55 : x
  2. Step 2: Convert to fraction form
    637.31/1,292.55 = 1,292.55/x
  3. Step 3: Cross multiply
    637.31x = 1,292.55 × 1,292.55
  4. Step 4: Simplify right side
    637.31x = 1,670,697.62
  5. Step 5: Solve for x
    x = 1,670,697.62/637.31
  6. Step 6: Final answer
    x = 2,621.47

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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.