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Finding the Third Proportional to 93,145.50 and 202,497.75

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Solution

The third proportional to 93,145.50 and 202,497.75 is: 440,228.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,145.50 : 202,497.75 = 202,497.75 : x
  2. Step 2: Convert to fraction form
    93,145.50/202,497.75 = 202,497.75/x
  3. Step 3: Cross multiply
    93,145.50x = 202,497.75 × 202,497.75
  4. Step 4: Simplify right side
    93,145.50x = 41,005,338,755.06
  5. Step 5: Solve for x
    x = 41,005,338,755.06/93,145.50
  6. Step 6: Final answer
    x = 440,228.88

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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.