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Finding the Third Proportional to 45,210 and 68,145

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Solution

The third proportional to 45,210 and 68,145 is: 102,714.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,210 : 68,145 = 68,145 : x
  2. Step 2: Convert to fraction form
    45,210/68,145 = 68,145/x
  3. Step 3: Cross multiply
    45,210x = 68,145 × 68,145
  4. Step 4: Simplify right side
    45,210x = 4,643,741,025
  5. Step 5: Solve for x
    x = 4,643,741,025/45,210
  6. Step 6: Final answer
    x = 102,714.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.