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Finding the Third Proportional to 340.31 and 533.91

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Solution

The third proportional to 340.31 and 533.91 is: 837.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.31 : 533.91 = 533.91 : x
  2. Step 2: Convert to fraction form
    340.31/533.91 = 533.91/x
  3. Step 3: Cross multiply
    340.31x = 533.91 × 533.91
  4. Step 4: Simplify right side
    340.31x = 285,055.88
  5. Step 5: Solve for x
    x = 285,055.88/340.31
  6. Step 6: Final answer
    x = 837.63

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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.