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Finding the Third Proportional to 344.91 and 813.47

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Solution

The third proportional to 344.91 and 813.47 is: 1,918.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.91 : 813.47 = 813.47 : x
  2. Step 2: Convert to fraction form
    344.91/813.47 = 813.47/x
  3. Step 3: Cross multiply
    344.91x = 813.47 × 813.47
  4. Step 4: Simplify right side
    344.91x = 661,731.41
  5. Step 5: Solve for x
    x = 661,731.41/344.91
  6. Step 6: Final answer
    x = 1,918.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.