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Finding the Third Proportional to 572.75 and 812.38

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Solution

The third proportional to 572.75 and 812.38 is: 1,152.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.75 : 812.38 = 812.38 : x
  2. Step 2: Convert to fraction form
    572.75/812.38 = 812.38/x
  3. Step 3: Cross multiply
    572.75x = 812.38 × 812.38
  4. Step 4: Simplify right side
    572.75x = 659,953.14
  5. Step 5: Solve for x
    x = 659,953.14/572.75
  6. Step 6: Final answer
    x = 1,152.25

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.