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Finding the Third Proportional to 386,595 and 784,062

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Solution

The third proportional to 386,595 and 784,062 is: 1,590,173.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,595 : 784,062 = 784,062 : x
  2. Step 2: Convert to fraction form
    386,595/784,062 = 784,062/x
  3. Step 3: Cross multiply
    386,595x = 784,062 × 784,062
  4. Step 4: Simplify right side
    386,595x = 614,753,219,844
  5. Step 5: Solve for x
    x = 614,753,219,844/386,595
  6. Step 6: Final answer
    x = 1,590,173.75

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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.