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Finding the Third Proportional to 69.16 and 147.31

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Solution

The third proportional to 69.16 and 147.31 is: 313.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.16 : 147.31 = 147.31 : x
  2. Step 2: Convert to fraction form
    69.16/147.31 = 147.31/x
  3. Step 3: Cross multiply
    69.16x = 147.31 × 147.31
  4. Step 4: Simplify right side
    69.16x = 21,700.97
  5. Step 5: Solve for x
    x = 21,700.97/69.16
  6. Step 6: Final answer
    x = 313.80

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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.