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Finding the Third Proportional to 492.75 and 573.19

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Solution

The third proportional to 492.75 and 573.19 is: 666.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.75 : 573.19 = 573.19 : x
  2. Step 2: Convert to fraction form
    492.75/573.19 = 573.19/x
  3. Step 3: Cross multiply
    492.75x = 573.19 × 573.19
  4. Step 4: Simplify right side
    492.75x = 328,543.91
  5. Step 5: Solve for x
    x = 328,543.91/492.75
  6. Step 6: Final answer
    x = 666.76

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.