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Finding the Third Proportional to 49,196 and 73,804

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Solution

The third proportional to 49,196 and 73,804 is: 110,721.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,196 : 73,804 = 73,804 : x
  2. Step 2: Convert to fraction form
    49,196/73,804 = 73,804/x
  3. Step 3: Cross multiply
    49,196x = 73,804 × 73,804
  4. Step 4: Simplify right side
    49,196x = 5,447,030,416
  5. Step 5: Solve for x
    x = 5,447,030,416/49,196
  6. Step 6: Final answer
    x = 110,721.00

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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.