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Finding the Third Proportional to 70.07 and 148.48

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Solution

The third proportional to 70.07 and 148.48 is: 314.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.07 : 148.48 = 148.48 : x
  2. Step 2: Convert to fraction form
    70.07/148.48 = 148.48/x
  3. Step 3: Cross multiply
    70.07x = 148.48 × 148.48
  4. Step 4: Simplify right side
    70.07x = 22,045.05
  5. Step 5: Solve for x
    x = 22,045.05/70.07
  6. Step 6: Final answer
    x = 314.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.