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Finding the Third Proportional to 346.69 and 742.13

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Solution

The third proportional to 346.69 and 742.13 is: 1,588.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.69 : 742.13 = 742.13 : x
  2. Step 2: Convert to fraction form
    346.69/742.13 = 742.13/x
  3. Step 3: Cross multiply
    346.69x = 742.13 × 742.13
  4. Step 4: Simplify right side
    346.69x = 550,749.52
  5. Step 5: Solve for x
    x = 550,749.52/346.69
  6. Step 6: Final answer
    x = 1,588.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.