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Finding the Third Proportional to 203,746.50 and 445,360.50

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Solution

The third proportional to 203,746.50 and 445,360.50 is: 973,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,746.50 : 445,360.50 = 445,360.50 : x
  2. Step 2: Convert to fraction form
    203,746.50/445,360.50 = 445,360.50/x
  3. Step 3: Cross multiply
    203,746.50x = 445,360.50 × 445,360.50
  4. Step 4: Simplify right side
    203,746.50x = 198,345,974,960.25
  5. Step 5: Solve for x
    x = 198,345,974,960.25/203,746.50
  6. Step 6: Final answer
    x = 973,493.90

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.