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Finding the Third Proportional to 369,252 and 789,678

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Solution

The third proportional to 369,252 and 789,678 is: 1,688,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,252 : 789,678 = 789,678 : x
  2. Step 2: Convert to fraction form
    369,252/789,678 = 789,678/x
  3. Step 3: Cross multiply
    369,252x = 789,678 × 789,678
  4. Step 4: Simplify right side
    369,252x = 623,591,343,684
  5. Step 5: Solve for x
    x = 623,591,343,684/369,252
  6. Step 6: Final answer
    x = 1,688,796.12

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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.