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Finding the Third Proportional to 137.32 and 297.58

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Solution

The third proportional to 137.32 and 297.58 is: 644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.32 : 297.58 = 297.58 : x
  2. Step 2: Convert to fraction form
    137.32/297.58 = 297.58/x
  3. Step 3: Cross multiply
    137.32x = 297.58 × 297.58
  4. Step 4: Simplify right side
    137.32x = 88,553.90
  5. Step 5: Solve for x
    x = 88,553.90/137.32
  6. Step 6: Final answer
    x = 644.87

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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.