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Finding the Third Proportional to 155.36 and 332.31

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Solution

The third proportional to 155.36 and 332.31 is: 710.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.36 : 332.31 = 332.31 : x
  2. Step 2: Convert to fraction form
    155.36/332.31 = 332.31/x
  3. Step 3: Cross multiply
    155.36x = 332.31 × 332.31
  4. Step 4: Simplify right side
    155.36x = 110,427.05
  5. Step 5: Solve for x
    x = 110,427.05/155.36
  6. Step 6: Final answer
    x = 710.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.