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Finding the Third Proportional to 51,129.56 and 109,366.88

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Solution

The third proportional to 51,129.56 and 109,366.88 is: 233,937.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129.56 : 109,366.88 = 109,366.88 : x
  2. Step 2: Convert to fraction form
    51,129.56/109,366.88 = 109,366.88/x
  3. Step 3: Cross multiply
    51,129.56x = 109,366.88 × 109,366.88
  4. Step 4: Simplify right side
    51,129.56x = 11,961,113,347.27
  5. Step 5: Solve for x
    x = 11,961,113,347.27/51,129.56
  6. Step 6: Final answer
    x = 233,937.33

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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.