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Finding the Third Proportional to 156.47 and 339.84

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Solution

The third proportional to 156.47 and 339.84 is: 738.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.47 : 339.84 = 339.84 : x
  2. Step 2: Convert to fraction form
    156.47/339.84 = 339.84/x
  3. Step 3: Cross multiply
    156.47x = 339.84 × 339.84
  4. Step 4: Simplify right side
    156.47x = 115,493.77
  5. Step 5: Solve for x
    x = 115,493.77/156.47
  6. Step 6: Final answer
    x = 738.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.