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Finding the Third Proportional to 297,882 and 638,406

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Solution

The third proportional to 297,882 and 638,406 is: 1,368,200.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,882 : 638,406 = 638,406 : x
  2. Step 2: Convert to fraction form
    297,882/638,406 = 638,406/x
  3. Step 3: Cross multiply
    297,882x = 638,406 × 638,406
  4. Step 4: Simplify right side
    297,882x = 407,562,220,836
  5. Step 5: Solve for x
    x = 407,562,220,836/297,882
  6. Step 6: Final answer
    x = 1,368,200.23

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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.