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Finding the Third Proportional to 300,864.38 and 640,365.75

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Solution

The third proportional to 300,864.38 and 640,365.75 is: 1,362,967.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,864.38 : 640,365.75 = 640,365.75 : x
  2. Step 2: Convert to fraction form
    300,864.38/640,365.75 = 640,365.75/x
  3. Step 3: Cross multiply
    300,864.38x = 640,365.75 × 640,365.75
  4. Step 4: Simplify right side
    300,864.38x = 410,068,293,773.06
  5. Step 5: Solve for x
    x = 410,068,293,773.06/300,864.38
  6. Step 6: Final answer
    x = 1,362,967.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.