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Finding the Third Proportional to 187.34 and 283.62

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Solution

The third proportional to 187.34 and 283.62 is: 429.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.34 : 283.62 = 283.62 : x
  2. Step 2: Convert to fraction form
    187.34/283.62 = 283.62/x
  3. Step 3: Cross multiply
    187.34x = 283.62 × 283.62
  4. Step 4: Simplify right side
    187.34x = 80,438.71
  5. Step 5: Solve for x
    x = 80,438.71/187.34
  6. Step 6: Final answer
    x = 429.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.