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Finding the Third Proportional to 139.64 and 305.30

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Solution

The third proportional to 139.64 and 305.30 is: 667.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.64 : 305.30 = 305.30 : x
  2. Step 2: Convert to fraction form
    139.64/305.30 = 305.30/x
  3. Step 3: Cross multiply
    139.64x = 305.30 × 305.30
  4. Step 4: Simplify right side
    139.64x = 93,206.18
  5. Step 5: Solve for x
    x = 93,206.18/139.64
  6. Step 6: Final answer
    x = 667.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.