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Finding the Third Proportional to 137.13 and 293.38

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Solution

The third proportional to 137.13 and 293.38 is: 627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.13 : 293.38 = 293.38 : x
  2. Step 2: Convert to fraction form
    137.13/293.38 = 293.38/x
  3. Step 3: Cross multiply
    137.13x = 293.38 × 293.38
  4. Step 4: Simplify right side
    137.13x = 86,068.89
  5. Step 5: Solve for x
    x = 86,068.89/137.13
  6. Step 6: Final answer
    x = 627.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.