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Finding the Third Proportional to 55,386 and 85,903

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Solution

The third proportional to 55,386 and 85,903 is: 133,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,386 : 85,903 = 85,903 : x
  2. Step 2: Convert to fraction form
    55,386/85,903 = 85,903/x
  3. Step 3: Cross multiply
    55,386x = 85,903 × 85,903
  4. Step 4: Simplify right side
    55,386x = 7,379,325,409
  5. Step 5: Solve for x
    x = 7,379,325,409/55,386
  6. Step 6: Final answer
    x = 133,234.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.