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Finding the Third Proportional to 133.48 and 292.60

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Solution

The third proportional to 133.48 and 292.60 is: 641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    133.48 : 292.60 = 292.60 : x
  2. Step 2: Convert to fraction form
    133.48/292.60 = 292.60/x
  3. Step 3: Cross multiply
    133.48x = 292.60 × 292.60
  4. Step 4: Simplify right side
    133.48x = 85,612.82
  5. Step 5: Solve for x
    x = 85,612.82/133.48
  6. Step 6: Final answer
    x = 641.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.