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Finding the Third Proportional to 344.57 and 510.21

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Solution

The third proportional to 344.57 and 510.21 is: 755.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.57 : 510.21 = 510.21 : x
  2. Step 2: Convert to fraction form
    344.57/510.21 = 510.21/x
  3. Step 3: Cross multiply
    344.57x = 510.21 × 510.21
  4. Step 4: Simplify right side
    344.57x = 260,309.22
  5. Step 5: Solve for x
    x = 260,309.22/344.57
  6. Step 6: Final answer
    x = 755.47

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.