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Finding the Third Proportional to 424,845 and 919,395

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Solution

The third proportional to 424,845 and 919,395 is: 1,989,636.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,845 : 919,395 = 919,395 : x
  2. Step 2: Convert to fraction form
    424,845/919,395 = 919,395/x
  3. Step 3: Cross multiply
    424,845x = 919,395 × 919,395
  4. Step 4: Simplify right side
    424,845x = 845,287,166,025
  5. Step 5: Solve for x
    x = 845,287,166,025/424,845
  6. Step 6: Final answer
    x = 1,989,636.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.