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Finding the Third Proportional to 346.50 and 754.17

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Solution

The third proportional to 346.50 and 754.17 is: 1,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.50 : 754.17 = 754.17 : x
  2. Step 2: Convert to fraction form
    346.50/754.17 = 754.17/x
  3. Step 3: Cross multiply
    346.50x = 754.17 × 754.17
  4. Step 4: Simplify right side
    346.50x = 568,775.22
  5. Step 5: Solve for x
    x = 568,775.22/346.50
  6. Step 6: Final answer
    x = 1,641.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.