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Finding the Third Proportional to 157.15 and 339.19

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Solution

The third proportional to 157.15 and 339.19 is: 732.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.15 : 339.19 = 339.19 : x
  2. Step 2: Convert to fraction form
    157.15/339.19 = 339.19/x
  3. Step 3: Cross multiply
    157.15x = 339.19 × 339.19
  4. Step 4: Simplify right side
    157.15x = 115,048.16
  5. Step 5: Solve for x
    x = 115,048.16/157.15
  6. Step 6: Final answer
    x = 732.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.