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Finding the Third Proportional to 368,708 and 789,640

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Solution

The third proportional to 368,708 and 789,640 is: 1,691,125.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,708 : 789,640 = 789,640 : x
  2. Step 2: Convert to fraction form
    368,708/789,640 = 789,640/x
  3. Step 3: Cross multiply
    368,708x = 789,640 × 789,640
  4. Step 4: Simplify right side
    368,708x = 623,531,329,600
  5. Step 5: Solve for x
    x = 623,531,329,600/368,708
  6. Step 6: Final answer
    x = 1,691,125.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.