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Finding the Third Proportional to 51,985 and 109,403

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Solution

The third proportional to 51,985 and 109,403 is: 230,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985 : 109,403 = 109,403 : x
  2. Step 2: Convert to fraction form
    51,985/109,403 = 109,403/x
  3. Step 3: Cross multiply
    51,985x = 109,403 × 109,403
  4. Step 4: Simplify right side
    51,985x = 11,969,016,409
  5. Step 5: Solve for x
    x = 11,969,016,409/51,985
  6. Step 6: Final answer
    x = 230,239.81

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.