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Finding the Third Proportional to 369,432 and 789,408

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Solution

The third proportional to 369,432 and 789,408 is: 1,686,819.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,432 : 789,408 = 789,408 : x
  2. Step 2: Convert to fraction form
    369,432/789,408 = 789,408/x
  3. Step 3: Cross multiply
    369,432x = 789,408 × 789,408
  4. Step 4: Simplify right side
    369,432x = 623,164,990,464
  5. Step 5: Solve for x
    x = 623,164,990,464/369,432
  6. Step 6: Final answer
    x = 1,686,819.20

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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.