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Finding the Third Proportional to 33,491 and 78,773

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Solution

The third proportional to 33,491 and 78,773 is: 185,279.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,491 : 78,773 = 78,773 : x
  2. Step 2: Convert to fraction form
    33,491/78,773 = 78,773/x
  3. Step 3: Cross multiply
    33,491x = 78,773 × 78,773
  4. Step 4: Simplify right side
    33,491x = 6,205,185,529
  5. Step 5: Solve for x
    x = 6,205,185,529/33,491
  6. Step 6: Final answer
    x = 185,279.20

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.