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Finding the Third Proportional to 72,947 and 109,497

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Solution

The third proportional to 72,947 and 109,497 is: 164,360.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,947 : 109,497 = 109,497 : x
  2. Step 2: Convert to fraction form
    72,947/109,497 = 109,497/x
  3. Step 3: Cross multiply
    72,947x = 109,497 × 109,497
  4. Step 4: Simplify right side
    72,947x = 11,989,593,009
  5. Step 5: Solve for x
    x = 11,989,593,009/72,947
  6. Step 6: Final answer
    x = 164,360.33

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