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Finding the Third Proportional to 387,086 and 789,724

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Solution

The third proportional to 387,086 and 789,724 is: 1,611,176.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,086 : 789,724 = 789,724 : x
  2. Step 2: Convert to fraction form
    387,086/789,724 = 789,724/x
  3. Step 3: Cross multiply
    387,086x = 789,724 × 789,724
  4. Step 4: Simplify right side
    387,086x = 623,663,996,176
  5. Step 5: Solve for x
    x = 623,663,996,176/387,086
  6. Step 6: Final answer
    x = 1,611,176.83

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.