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Finding the Third Proportional to 269.63 and 649.31

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Solution

The third proportional to 269.63 and 649.31 is: 1,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 649.31 = 649.31 : x
  2. Step 2: Convert to fraction form
    269.63/649.31 = 649.31/x
  3. Step 3: Cross multiply
    269.63x = 649.31 × 649.31
  4. Step 4: Simplify right side
    269.63x = 421,606.72
  5. Step 5: Solve for x
    x = 421,606.72/269.63
  6. Step 6: Final answer
    x = 1,563.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.