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Finding the Third Proportional to 45,746 and 68,729

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Solution

The third proportional to 45,746 and 68,729 is: 103,258.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,746 : 68,729 = 68,729 : x
  2. Step 2: Convert to fraction form
    45,746/68,729 = 68,729/x
  3. Step 3: Cross multiply
    45,746x = 68,729 × 68,729
  4. Step 4: Simplify right side
    45,746x = 4,723,675,441
  5. Step 5: Solve for x
    x = 4,723,675,441/45,746
  6. Step 6: Final answer
    x = 103,258.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.