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Finding the Third Proportional to 617.58 and 1,457.82

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Solution

The third proportional to 617.58 and 1,457.82 is: 3,441.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.58 : 1,457.82 = 1,457.82 : x
  2. Step 2: Convert to fraction form
    617.58/1,457.82 = 1,457.82/x
  3. Step 3: Cross multiply
    617.58x = 1,457.82 × 1,457.82
  4. Step 4: Simplify right side
    617.58x = 2,125,234.37
  5. Step 5: Solve for x
    x = 2,125,234.37/617.58
  6. Step 6: Final answer
    x = 3,441.24

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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.