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Finding the Third Proportional to 99,317.81 and 203,864.06

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Solution

The third proportional to 99,317.81 and 203,864.06 is: 418,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,317.81 : 203,864.06 = 203,864.06 : x
  2. Step 2: Convert to fraction form
    99,317.81/203,864.06 = 203,864.06/x
  3. Step 3: Cross multiply
    99,317.81x = 203,864.06 × 203,864.06
  4. Step 4: Simplify right side
    99,317.81x = 41,560,555,979.00
  5. Step 5: Solve for x
    x = 41,560,555,979.00/99,317.81
  6. Step 6: Final answer
    x = 418,460.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.