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Finding the Third Proportional to 73,228 and 109,554

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Solution

The third proportional to 73,228 and 109,554 is: 163,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,228 : 109,554 = 109,554 : x
  2. Step 2: Convert to fraction form
    73,228/109,554 = 109,554/x
  3. Step 3: Cross multiply
    73,228x = 109,554 × 109,554
  4. Step 4: Simplify right side
    73,228x = 12,002,078,916
  5. Step 5: Solve for x
    x = 12,002,078,916/73,228
  6. Step 6: Final answer
    x = 163,900.13

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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.