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Finding the Third Proportional to 187.41 and 434.77

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Solution

The third proportional to 187.41 and 434.77 is: 1,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 434.77 = 434.77 : x
  2. Step 2: Convert to fraction form
    187.41/434.77 = 434.77/x
  3. Step 3: Cross multiply
    187.41x = 434.77 × 434.77
  4. Step 4: Simplify right side
    187.41x = 189,021.15
  5. Step 5: Solve for x
    x = 189,021.15/187.41
  6. Step 6: Final answer
    x = 1,008.62

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.