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Finding the Third Proportional to 157.57 and 319.41

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Solution

The third proportional to 157.57 and 319.41 is: 647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 319.41 = 319.41 : x
  2. Step 2: Convert to fraction form
    157.57/319.41 = 319.41/x
  3. Step 3: Cross multiply
    157.57x = 319.41 × 319.41
  4. Step 4: Simplify right side
    157.57x = 102,024.10
  5. Step 5: Solve for x
    x = 102,024.10/157.57
  6. Step 6: Final answer
    x = 647.48

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.