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Finding the Third Proportional to 297,680 and 449,255

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Solution

The third proportional to 297,680 and 449,255 is: 678,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,680 : 449,255 = 449,255 : x
  2. Step 2: Convert to fraction form
    297,680/449,255 = 449,255/x
  3. Step 3: Cross multiply
    297,680x = 449,255 × 449,255
  4. Step 4: Simplify right side
    297,680x = 201,830,055,025
  5. Step 5: Solve for x
    x = 201,830,055,025/297,680
  6. Step 6: Final answer
    x = 678,010.13

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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.