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Finding the Third Proportional to 236.53 and 572.34

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Solution

The third proportional to 236.53 and 572.34 is: 1,384.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.53 : 572.34 = 572.34 : x
  2. Step 2: Convert to fraction form
    236.53/572.34 = 572.34/x
  3. Step 3: Cross multiply
    236.53x = 572.34 × 572.34
  4. Step 4: Simplify right side
    236.53x = 327,577.37
  5. Step 5: Solve for x
    x = 327,577.37/236.53
  6. Step 6: Final answer
    x = 1,384.92

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.