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Finding the Third Proportional to 341.69 and 572.56

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Solution

The third proportional to 341.69 and 572.56 is: 959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.69 : 572.56 = 572.56 : x
  2. Step 2: Convert to fraction form
    341.69/572.56 = 572.56/x
  3. Step 3: Cross multiply
    341.69x = 572.56 × 572.56
  4. Step 4: Simplify right side
    341.69x = 327,827.82
  5. Step 5: Solve for x
    x = 327,827.82/341.69
  6. Step 6: Final answer
    x = 959.44

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.