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Finding the Third Proportional to 153.09 and 335.50

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Solution

The third proportional to 153.09 and 335.50 is: 735.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.09 : 335.50 = 335.50 : x
  2. Step 2: Convert to fraction form
    153.09/335.50 = 335.50/x
  3. Step 3: Cross multiply
    153.09x = 335.50 × 335.50
  4. Step 4: Simplify right side
    153.09x = 112,557.63
  5. Step 5: Solve for x
    x = 112,557.63/153.09
  6. Step 6: Final answer
    x = 735.25

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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.