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Finding the Third Proportional to 297,938 and 449,710

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Solution

The third proportional to 297,938 and 449,710 is: 678,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,938 : 449,710 = 449,710 : x
  2. Step 2: Convert to fraction form
    297,938/449,710 = 449,710/x
  3. Step 3: Cross multiply
    297,938x = 449,710 × 449,710
  4. Step 4: Simplify right side
    297,938x = 202,239,084,100
  5. Step 5: Solve for x
    x = 202,239,084,100/297,938
  6. Step 6: Final answer
    x = 678,795.87

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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.