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Finding the Third Proportional to 344.63 and 546.56

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Solution

The third proportional to 344.63 and 546.56 is: 866.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.63 : 546.56 = 546.56 : x
  2. Step 2: Convert to fraction form
    344.63/546.56 = 546.56/x
  3. Step 3: Cross multiply
    344.63x = 546.56 × 546.56
  4. Step 4: Simplify right side
    344.63x = 298,730.57
  5. Step 5: Solve for x
    x = 298,730.57/344.63
  6. Step 6: Final answer
    x = 866.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.