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Finding the Third Proportional to 145.13 and 371.67

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Solution

The third proportional to 145.13 and 371.67 is: 951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.13 : 371.67 = 371.67 : x
  2. Step 2: Convert to fraction form
    145.13/371.67 = 371.67/x
  3. Step 3: Cross multiply
    145.13x = 371.67 × 371.67
  4. Step 4: Simplify right side
    145.13x = 138,139.98
  5. Step 5: Solve for x
    x = 138,139.98/145.13
  6. Step 6: Final answer
    x = 951.87

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.