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Finding the Third Proportional to 147.75 and 305.19

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Solution

The third proportional to 147.75 and 305.19 is: 630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.75 : 305.19 = 305.19 : x
  2. Step 2: Convert to fraction form
    147.75/305.19 = 305.19/x
  3. Step 3: Cross multiply
    147.75x = 305.19 × 305.19
  4. Step 4: Simplify right side
    147.75x = 93,139.41
  5. Step 5: Solve for x
    x = 93,139.41/147.75
  6. Step 6: Final answer
    x = 630.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.