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Finding the Third Proportional to 332.23 and 761.27

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Solution

The third proportional to 332.23 and 761.27 is: 1,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.23 : 761.27 = 761.27 : x
  2. Step 2: Convert to fraction form
    332.23/761.27 = 761.27/x
  3. Step 3: Cross multiply
    332.23x = 761.27 × 761.27
  4. Step 4: Simplify right side
    332.23x = 579,537.25
  5. Step 5: Solve for x
    x = 579,537.25/332.23
  6. Step 6: Final answer
    x = 1,744.40

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.