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Finding the Third Proportional to 344.81 and 509.63

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Solution

The third proportional to 344.81 and 509.63 is: 753.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.81 : 509.63 = 509.63 : x
  2. Step 2: Convert to fraction form
    344.81/509.63 = 509.63/x
  3. Step 3: Cross multiply
    344.81x = 509.63 × 509.63
  4. Step 4: Simplify right side
    344.81x = 259,717.64
  5. Step 5: Solve for x
    x = 259,717.64/344.81
  6. Step 6: Final answer
    x = 753.21

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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.