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Finding the Third Proportional to 542,484 and 789,102

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Solution

The third proportional to 542,484 and 789,102 is: 1,147,834.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,484 : 789,102 = 789,102 : x
  2. Step 2: Convert to fraction form
    542,484/789,102 = 789,102/x
  3. Step 3: Cross multiply
    542,484x = 789,102 × 789,102
  4. Step 4: Simplify right side
    542,484x = 622,681,966,404
  5. Step 5: Solve for x
    x = 622,681,966,404/542,484
  6. Step 6: Final answer
    x = 1,147,834.71

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.