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Finding the Third Proportional to 554.82 and 656.07

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Solution

The third proportional to 554.82 and 656.07 is: 775.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.82 : 656.07 = 656.07 : x
  2. Step 2: Convert to fraction form
    554.82/656.07 = 656.07/x
  3. Step 3: Cross multiply
    554.82x = 656.07 × 656.07
  4. Step 4: Simplify right side
    554.82x = 430,425.69
  5. Step 5: Solve for x
    x = 430,425.69/554.82
  6. Step 6: Final answer
    x = 775.80

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.