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Finding the Third Proportional to 208,964.81 and 322,864.31

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Solution

The third proportional to 208,964.81 and 322,864.31 is: 498,846.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,964.81 : 322,864.31 = 322,864.31 : x
  2. Step 2: Convert to fraction form
    208,964.81/322,864.31 = 322,864.31/x
  3. Step 3: Cross multiply
    208,964.81x = 322,864.31 × 322,864.31
  4. Step 4: Simplify right side
    208,964.81x = 104,241,364,286.10
  5. Step 5: Solve for x
    x = 104,241,364,286.10/208,964.81
  6. Step 6: Final answer
    x = 498,846.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.