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Finding the Third Proportional to 147.13 and 301.63

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Solution

The third proportional to 147.13 and 301.63 is: 618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.13 : 301.63 = 301.63 : x
  2. Step 2: Convert to fraction form
    147.13/301.63 = 301.63/x
  3. Step 3: Cross multiply
    147.13x = 301.63 × 301.63
  4. Step 4: Simplify right side
    147.13x = 90,977.64
  5. Step 5: Solve for x
    x = 90,977.64/147.13
  6. Step 6: Final answer
    x = 618.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.