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Finding the Third Proportional to 51,036 and 109,455

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Solution

The third proportional to 51,036 and 109,455 is: 234,744.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,036 : 109,455 = 109,455 : x
  2. Step 2: Convert to fraction form
    51,036/109,455 = 109,455/x
  3. Step 3: Cross multiply
    51,036x = 109,455 × 109,455
  4. Step 4: Simplify right side
    51,036x = 11,980,397,025
  5. Step 5: Solve for x
    x = 11,980,397,025/51,036
  6. Step 6: Final answer
    x = 234,744.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.