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Finding the Third Proportional to 386,591 and 784,054

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Solution

The third proportional to 386,591 and 784,054 is: 1,590,157.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,591 : 784,054 = 784,054 : x
  2. Step 2: Convert to fraction form
    386,591/784,054 = 784,054/x
  3. Step 3: Cross multiply
    386,591x = 784,054 × 784,054
  4. Step 4: Simplify right side
    386,591x = 614,740,674,916
  5. Step 5: Solve for x
    x = 614,740,674,916/386,591
  6. Step 6: Final answer
    x = 1,590,157.75

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.