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Finding the Third Proportional to 486.84 and 558.84

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Solution

The third proportional to 486.84 and 558.84 is: 641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.84 : 558.84 = 558.84 : x
  2. Step 2: Convert to fraction form
    486.84/558.84 = 558.84/x
  3. Step 3: Cross multiply
    486.84x = 558.84 × 558.84
  4. Step 4: Simplify right side
    486.84x = 312,306.34
  5. Step 5: Solve for x
    x = 312,306.34/486.84
  6. Step 6: Final answer
    x = 641.49

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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.