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Finding the Third Proportional to 164 and 237.13

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Solution

The third proportional to 164 and 237.13 is: 342.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164 : 237.13 = 237.13 : x
  2. Step 2: Convert to fraction form
    164/237.13 = 237.13/x
  3. Step 3: Cross multiply
    164x = 237.13 × 237.13
  4. Step 4: Simplify right side
    164x = 56,228.27
  5. Step 5: Solve for x
    x = 56,228.27/164
  6. Step 6: Final answer
    x = 342.86

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.