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Finding the Third Proportional to 297,388 and 448,839

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Solution

The third proportional to 297,388 and 448,839 is: 677,419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,388 : 448,839 = 448,839 : x
  2. Step 2: Convert to fraction form
    297,388/448,839 = 448,839/x
  3. Step 3: Cross multiply
    297,388x = 448,839 × 448,839
  4. Step 4: Simplify right side
    297,388x = 201,456,447,921
  5. Step 5: Solve for x
    x = 201,456,447,921/297,388
  6. Step 6: Final answer
    x = 677,419.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.