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Finding the Third Proportional to 617.91 and 962.30

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Solution

The third proportional to 617.91 and 962.30 is: 1,498.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.91 : 962.30 = 962.30 : x
  2. Step 2: Convert to fraction form
    617.91/962.30 = 962.30/x
  3. Step 3: Cross multiply
    617.91x = 962.30 × 962.30
  4. Step 4: Simplify right side
    617.91x = 926,015.28
  5. Step 5: Solve for x
    x = 926,015.28/617.91
  6. Step 6: Final answer
    x = 1,498.63

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.