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Finding the Third Proportional to 153.77 and 336.02

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Solution

The third proportional to 153.77 and 336.02 is: 734.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.77 : 336.02 = 336.02 : x
  2. Step 2: Convert to fraction form
    153.77/336.02 = 336.02/x
  3. Step 3: Cross multiply
    153.77x = 336.02 × 336.02
  4. Step 4: Simplify right side
    153.77x = 112,911.75
  5. Step 5: Solve for x
    x = 112,911.75/153.77
  6. Step 6: Final answer
    x = 734.27

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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.