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Finding the Third Proportional to 157.08 and 344.53

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Solution

The third proportional to 157.08 and 344.53 is: 755.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.08 : 344.53 = 344.53 : x
  2. Step 2: Convert to fraction form
    157.08/344.53 = 344.53/x
  3. Step 3: Cross multiply
    157.08x = 344.53 × 344.53
  4. Step 4: Simplify right side
    157.08x = 118,701.78
  5. Step 5: Solve for x
    x = 118,701.78/157.08
  6. Step 6: Final answer
    x = 755.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.