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Finding the Third Proportional to 308,327.63 and 686,724.75

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Solution

The third proportional to 308,327.63 and 686,724.75 is: 1,529,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,327.63 : 686,724.75 = 686,724.75 : x
  2. Step 2: Convert to fraction form
    308,327.63/686,724.75 = 686,724.75/x
  3. Step 3: Cross multiply
    308,327.63x = 686,724.75 × 686,724.75
  4. Step 4: Simplify right side
    308,327.63x = 471,590,882,262.56
  5. Step 5: Solve for x
    x = 471,590,882,262.56/308,327.63
  6. Step 6: Final answer
    x = 1,529,512.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.