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Finding the Third Proportional to 139.50 and 305.63

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Solution

The third proportional to 139.50 and 305.63 is: 669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.50 : 305.63 = 305.63 : x
  2. Step 2: Convert to fraction form
    139.50/305.63 = 305.63/x
  3. Step 3: Cross multiply
    139.50x = 305.63 × 305.63
  4. Step 4: Simplify right side
    139.50x = 93,406.64
  5. Step 5: Solve for x
    x = 93,406.64/139.50
  6. Step 6: Final answer
    x = 669.58

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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.