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Finding the Third Proportional to 159.50 and 214.63

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Solution

The third proportional to 159.50 and 214.63 is: 288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.50 : 214.63 = 214.63 : x
  2. Step 2: Convert to fraction form
    159.50/214.63 = 214.63/x
  3. Step 3: Cross multiply
    159.50x = 214.63 × 214.63
  4. Step 4: Simplify right side
    159.50x = 46,063.89
  5. Step 5: Solve for x
    x = 46,063.89/159.50
  6. Step 6: Final answer
    x = 288.80

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.