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Finding the Third Proportional to 45,206 and 68,139

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Solution

The third proportional to 45,206 and 68,139 is: 102,705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,206 : 68,139 = 68,139 : x
  2. Step 2: Convert to fraction form
    45,206/68,139 = 68,139/x
  3. Step 3: Cross multiply
    45,206x = 68,139 × 68,139
  4. Step 4: Simplify right side
    45,206x = 4,642,923,321
  5. Step 5: Solve for x
    x = 4,642,923,321/45,206
  6. Step 6: Final answer
    x = 102,705.91

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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.