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Finding the Third Proportional to 51,113 and 108,301

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Solution

The third proportional to 51,113 and 108,301 is: 229,474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,113 : 108,301 = 108,301 : x
  2. Step 2: Convert to fraction form
    51,113/108,301 = 108,301/x
  3. Step 3: Cross multiply
    51,113x = 108,301 × 108,301
  4. Step 4: Simplify right side
    51,113x = 11,729,106,601
  5. Step 5: Solve for x
    x = 11,729,106,601/51,113
  6. Step 6: Final answer
    x = 229,474.04

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.