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Finding the Third Proportional to 355,455 and 789,642

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Solution

The third proportional to 355,455 and 789,642 is: 1,754,186.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,455 : 789,642 = 789,642 : x
  2. Step 2: Convert to fraction form
    355,455/789,642 = 789,642/x
  3. Step 3: Cross multiply
    355,455x = 789,642 × 789,642
  4. Step 4: Simplify right side
    355,455x = 623,534,488,164
  5. Step 5: Solve for x
    x = 623,534,488,164/355,455
  6. Step 6: Final answer
    x = 1,754,186.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.