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Finding the Third Proportional to 387,083 and 789,718

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Solution

The third proportional to 387,083 and 789,718 is: 1,611,164.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,083 : 789,718 = 789,718 : x
  2. Step 2: Convert to fraction form
    387,083/789,718 = 789,718/x
  3. Step 3: Cross multiply
    387,083x = 789,718 × 789,718
  4. Step 4: Simplify right side
    387,083x = 623,654,519,524
  5. Step 5: Solve for x
    x = 623,654,519,524/387,083
  6. Step 6: Final answer
    x = 1,611,164.84

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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.