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Finding the Third Proportional to 382,724 and 838,408

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Solution

The third proportional to 382,724 and 838,408 is: 1,836,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,724 : 838,408 = 838,408 : x
  2. Step 2: Convert to fraction form
    382,724/838,408 = 838,408/x
  3. Step 3: Cross multiply
    382,724x = 838,408 × 838,408
  4. Step 4: Simplify right side
    382,724x = 702,927,974,464
  5. Step 5: Solve for x
    x = 702,927,974,464/382,724
  6. Step 6: Final answer
    x = 1,836,644.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.