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Finding the Third Proportional to 42,253 and 91,804

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Solution

The third proportional to 42,253 and 91,804 is: 199,464.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,253 : 91,804 = 91,804 : x
  2. Step 2: Convert to fraction form
    42,253/91,804 = 91,804/x
  3. Step 3: Cross multiply
    42,253x = 91,804 × 91,804
  4. Step 4: Simplify right side
    42,253x = 8,427,974,416
  5. Step 5: Solve for x
    x = 8,427,974,416/42,253
  6. Step 6: Final answer
    x = 199,464.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.