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Finding the Third Proportional to 356.91 and 819.49

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Solution

The third proportional to 356.91 and 819.49 is: 1,881.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 819.49 = 819.49 : x
  2. Step 2: Convert to fraction form
    356.91/819.49 = 819.49/x
  3. Step 3: Cross multiply
    356.91x = 819.49 × 819.49
  4. Step 4: Simplify right side
    356.91x = 671,567.45
  5. Step 5: Solve for x
    x = 671,567.45/356.91
  6. Step 6: Final answer
    x = 1,881.64

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.