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Finding the Third Proportional to 73,084 and 109,333

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Solution

The third proportional to 73,084 and 109,333 is: 163,561.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,084 : 109,333 = 109,333 : x
  2. Step 2: Convert to fraction form
    73,084/109,333 = 109,333/x
  3. Step 3: Cross multiply
    73,084x = 109,333 × 109,333
  4. Step 4: Simplify right side
    73,084x = 11,953,704,889
  5. Step 5: Solve for x
    x = 11,953,704,889/73,084
  6. Step 6: Final answer
    x = 163,561.17

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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.