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Finding the Third Proportional to 157.57 and 340.14

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Solution

The third proportional to 157.57 and 340.14 is: 734.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.57 : 340.14 = 340.14 : x
  2. Step 2: Convert to fraction form
    157.57/340.14 = 340.14/x
  3. Step 3: Cross multiply
    157.57x = 340.14 × 340.14
  4. Step 4: Simplify right side
    157.57x = 115,692.99
  5. Step 5: Solve for x
    x = 115,692.99/157.57
  6. Step 6: Final answer
    x = 734.23

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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.