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Finding the Third Proportional to 159.86 and 347.87

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Solution

The third proportional to 159.86 and 347.87 is: 757.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.86 : 347.87 = 347.87 : x
  2. Step 2: Convert to fraction form
    159.86/347.87 = 347.87/x
  3. Step 3: Cross multiply
    159.86x = 347.87 × 347.87
  4. Step 4: Simplify right side
    159.86x = 121,011.69
  5. Step 5: Solve for x
    x = 121,011.69/159.86
  6. Step 6: Final answer
    x = 757.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.