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Finding the Third Proportional to 369,123 and 789,431

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Solution

The third proportional to 369,123 and 789,431 is: 1,688,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,123 : 789,431 = 789,431 : x
  2. Step 2: Convert to fraction form
    369,123/789,431 = 789,431/x
  3. Step 3: Cross multiply
    369,123x = 789,431 × 789,431
  4. Step 4: Simplify right side
    369,123x = 623,201,303,761
  5. Step 5: Solve for x
    x = 623,201,303,761/369,123
  6. Step 6: Final answer
    x = 1,688,329.65

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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.