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Finding the Third Proportional to 46,972 and 72,845

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Solution

The third proportional to 46,972 and 72,845 is: 112,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,972 : 72,845 = 72,845 : x
  2. Step 2: Convert to fraction form
    46,972/72,845 = 72,845/x
  3. Step 3: Cross multiply
    46,972x = 72,845 × 72,845
  4. Step 4: Simplify right side
    46,972x = 5,306,394,025
  5. Step 5: Solve for x
    x = 5,306,394,025/46,972
  6. Step 6: Final answer
    x = 112,969.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.