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Finding the Third Proportional to 369,138 and 789,462

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Solution

The third proportional to 369,138 and 789,462 is: 1,688,393.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,138 : 789,462 = 789,462 : x
  2. Step 2: Convert to fraction form
    369,138/789,462 = 789,462/x
  3. Step 3: Cross multiply
    369,138x = 789,462 × 789,462
  4. Step 4: Simplify right side
    369,138x = 623,250,249,444
  5. Step 5: Solve for x
    x = 623,250,249,444/369,138
  6. Step 6: Final answer
    x = 1,688,393.63

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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.