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Finding the Third Proportional to 491.81 and 561.56

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Solution

The third proportional to 491.81 and 561.56 is: 641.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.81 : 561.56 = 561.56 : x
  2. Step 2: Convert to fraction form
    491.81/561.56 = 561.56/x
  3. Step 3: Cross multiply
    491.81x = 561.56 × 561.56
  4. Step 4: Simplify right side
    491.81x = 315,352.44
  5. Step 5: Solve for x
    x = 315,352.44/491.81
  6. Step 6: Final answer
    x = 641.20

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.