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Finding the Third Proportional to 156.74 and 341.84

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Solution

The third proportional to 156.74 and 341.84 is: 745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.74 : 341.84 = 341.84 : x
  2. Step 2: Convert to fraction form
    156.74/341.84 = 341.84/x
  3. Step 3: Cross multiply
    156.74x = 341.84 × 341.84
  4. Step 4: Simplify right side
    156.74x = 116,852.81
  5. Step 5: Solve for x
    x = 116,852.81/156.74
  6. Step 6: Final answer
    x = 745.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.