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Finding the Third Proportional to 51.63 and 70.12

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Solution

The third proportional to 51.63 and 70.12 is: 95.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 70.12 = 70.12 : x
  2. Step 2: Convert to fraction form
    51.63/70.12 = 70.12/x
  3. Step 3: Cross multiply
    51.63x = 70.12 × 70.12
  4. Step 4: Simplify right side
    51.63x = 4,917.31
  5. Step 5: Solve for x
    x = 4,917.31/51.63
  6. Step 6: Final answer
    x = 95.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.