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Finding the Third Proportional to 344.88 and 756.21

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Solution

The third proportional to 344.88 and 756.21 is: 1,658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.88 : 756.21 = 756.21 : x
  2. Step 2: Convert to fraction form
    344.88/756.21 = 756.21/x
  3. Step 3: Cross multiply
    344.88x = 756.21 × 756.21
  4. Step 4: Simplify right side
    344.88x = 571,854.98
  5. Step 5: Solve for x
    x = 571,854.98/344.88
  6. Step 6: Final answer
    x = 1,658.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.