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Finding the Third Proportional to 320.34 and 437.34

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Solution

The third proportional to 320.34 and 437.34 is: 597.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    320.34 : 437.34 = 437.34 : x
  2. Step 2: Convert to fraction form
    320.34/437.34 = 437.34/x
  3. Step 3: Cross multiply
    320.34x = 437.34 × 437.34
  4. Step 4: Simplify right side
    320.34x = 191,269.56
  5. Step 5: Solve for x
    x = 191,269.56/320.34
  6. Step 6: Final answer
    x = 597.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.