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Finding the Third Proportional to 70.31 and 149.63

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Solution

The third proportional to 70.31 and 149.63 is: 318.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.31 : 149.63 = 149.63 : x
  2. Step 2: Convert to fraction form
    70.31/149.63 = 149.63/x
  3. Step 3: Cross multiply
    70.31x = 149.63 × 149.63
  4. Step 4: Simplify right side
    70.31x = 22,387.64
  5. Step 5: Solve for x
    x = 22,387.64/70.31
  6. Step 6: Final answer
    x = 318.40

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.