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Finding the Third Proportional to 242.58 and 572.48

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Solution

The third proportional to 242.58 and 572.48 is: 1,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.58 : 572.48 = 572.48 : x
  2. Step 2: Convert to fraction form
    242.58/572.48 = 572.48/x
  3. Step 3: Cross multiply
    242.58x = 572.48 × 572.48
  4. Step 4: Simplify right side
    242.58x = 327,738.36
  5. Step 5: Solve for x
    x = 327,738.36/242.58
  6. Step 6: Final answer
    x = 1,351.06

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.