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Finding the Third Proportional to 51 and 117.56

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Solution

The third proportional to 51 and 117.56 is: 271.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    51 : 117.56 = 117.56 : x
  2. Step 2: Convert to fraction form
    51/117.56 = 117.56/x
  3. Step 3: Cross multiply
    51x = 117.56 × 117.56
  4. Step 4: Simplify right side
    51x = 13,820.94
  5. Step 5: Solve for x
    x = 13,820.94/51
  6. Step 6: Final answer
    x = 271.00

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.