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Finding the Third Proportional to 356.91 and 559.41

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Solution

The third proportional to 356.91 and 559.41 is: 876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.91 : 559.41 = 559.41 : x
  2. Step 2: Convert to fraction form
    356.91/559.41 = 559.41/x
  3. Step 3: Cross multiply
    356.91x = 559.41 × 559.41
  4. Step 4: Simplify right side
    356.91x = 312,935.35
  5. Step 5: Solve for x
    x = 312,935.35/356.91
  6. Step 6: Final answer
    x = 876.80

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.