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Finding the Third Proportional to 486.84 and 561.09

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Solution

The third proportional to 486.84 and 561.09 is: 646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 561.09 = 561.09 : x
  2. Step 2: Convert to fraction form
    486.84/561.09 = 561.09/x
  3. Step 3: Cross multiply
    486.84x = 561.09 × 561.09
  4. Step 4: Simplify right side
    486.84x = 314,826.20
  5. Step 5: Solve for x
    x = 314,826.20/486.84
  6. Step 6: Final answer
    x = 646.67

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.