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Finding the Third Proportional to 570.75 and 642.75

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Solution

The third proportional to 570.75 and 642.75 is: 723.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.75 : 642.75 = 642.75 : x
  2. Step 2: Convert to fraction form
    570.75/642.75 = 642.75/x
  3. Step 3: Cross multiply
    570.75x = 642.75 × 642.75
  4. Step 4: Simplify right side
    570.75x = 413,127.56
  5. Step 5: Solve for x
    x = 413,127.56/570.75
  6. Step 6: Final answer
    x = 723.83

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.