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Finding the Third Proportional to 351.84 and 557.86

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Solution

The third proportional to 351.84 and 557.86 is: 884.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 557.86 = 557.86 : x
  2. Step 2: Convert to fraction form
    351.84/557.86 = 557.86/x
  3. Step 3: Cross multiply
    351.84x = 557.86 × 557.86
  4. Step 4: Simplify right side
    351.84x = 311,207.08
  5. Step 5: Solve for x
    x = 311,207.08/351.84
  6. Step 6: Final answer
    x = 884.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.